OpenLLM-France/wikimedia huggingface dataset:
# Mim Kut

The Mim Kut is a festival of the Zo People, of India and Burma. It is usually celebrated during the months of August and September, job's tears and millets.

## Origin and History

Mim Kut is regarded as the oldest festival of the Zo People, it was a ceremony organized for the dead. Feasting is a part of it but there is hardly any fun and gaiety in it. Mim means Job's tears (Coix lacryma-jobi), also known as adlay or adlay millet which was introduced much later). It was held in memory of the deceased.
# George Dykes

George Dykes (23 September 1903 – 25 December 1978) was an Australian rules footballer who played with North Melbourne in the Victorian Football League (VFL).
# Jon-Russ Jaggesar

Jon-Russ Luke Jaggesar (born 19 March 1986) is a Trinidadian cricketer who plays for the Trinidad and Tobago national team in West Indian domestic cricket. He is a right-arm off-spin bowler.
Jaggesar made his List A debut for Trinidad and Tobago in January 2016, playing against Jamaica in the 2015–16 Regional Super50. He finished the tournament with 14 wickets from six matches (behind only Sulieman Benn overall), which included performances of 3/24 against Barbados and 4/32 against Jamaica. Jaggesar made his first-class debut the following month, playing against Guyana in the 2015–16 Regional Four Day Competition.
In November 2019, he was named in Trinidad and Tobago's squad for the 2019–20 Regional Super50 tournament. In July 2020, he was named in the St Kitts & Nevis Patriots squad for the 2020 Caribbean Premier League.
# Gerald James (cricketer)

Gerald James (22 March 1908 – 24 December 1967) was an Australian cricketer. He played 35 first-class matches for Tasmania between 1928 and 1946.
# Joel Reddy

Joel Reddy (born 8 October 1985) is an Australian former professional rugby league footballer who most recently played for the South Sydney Rabbitohs. He was a part of the Rabbitohs squad that won the 2014 NRL Premiership.

## Background

Reddy was born in Sydney, New South Wales, Australia.

## Career

Having played his junior football with the Yarrawarrah Tigers, Reddy moved to Adelaide as a teenager when his father was appointed as head coach of the ill-fated Adelaide Rams. He continued playing in the South Australia Rugby League for South Adelaide Bulldogs, while attending Blackwood High School. Reddy made his NRL debut with Parramatta in 2005, scoring a try in his first game. In his first 2 seasons, he played 6 games, playing as a fullback. Reddy played for Parramatta in the club's 2007 reserve grade premiership winning side which defeated North Sydney 20–15 at Telstra Stadium. Reddy was one of the try scorers in the match.
Reddy's usual position has been either on the wing or in the centres. With the departure of Brett Finch in the 2009 season, the Eels moved Reddy into the halves, playing him at Five-Eighth for one game but moved back into the centres when Daniel Mortimer moved to the five-eighth position.
Unveiled in The Daily Telegraph's exclusive fan poll on 23 September 2009, Reddy was chosen as the most under-rated player in the NRL. Reddy played for Parramatta in the 2009 NRL grand final and scored a try in the second half but The Eels ultimately lost the match 23–16.
In 2010 Reddy was selected to represent the City Origin side after an injury to Braith Anasta.
A torn pectoral muscle in round 10 saw Reddy miss the rest of the 2011 season. Two months later he signed a 2-year contract with the Wests Tigers for the 2012 and 2013 seasons. "It was pretty tough but when the Tigers came knocking I knew they were a really good club," Reddy said. "I enjoy my defence so I think that was one thing Tim was looking at when he bought me. I’m ready to do the hard work, the tough stuff and leave the fancy stuff to Benji."
Despite scoring tries in his first two appearances in 2012, Reddy managed just 14 games for the season and was not chosen for first grade after round 20. In 2013, he also made 14 appearances, scoring 22 tries.
He signed with the South Sydney Rabbitohs for the 2014 season, the year in which they won the premiership but did not feature in the grand final winning side. Reddy announced his retirement at the beginning of the 2016 season and went on to make a further 19 appearances that year.

## Family

Reddy is the son of former International and Dragon forward Rod Reddy, and the brother of professional footballer Liam Reddy. He is also the brother of Bianca Reddy who plays netball for the Adelaide Thunderbirds. Reddy is married to Bryson Goodwin's sister, Rearne Goodwin. He is also the brother in law of the St. George Illawarra winger Bronx Goodwin
# Rivière des Saults

The rivière des Saults (French pronunciation:, "Saults river") is a tributary on the south bank of the Nicolet Southwest River. It empties into the municipality of Saint-Cyrille-de-Wendover, Notre-Dame-du-Bon-Conseil and Sainte-Brigitte-des-Saults, in the Drummond Regional County Municipality (MRC), in the administrative region of Centre-du-Québec, in Quebec, in Canada.
Except for the first 2.6 kilometres (1.6 mi) and near the mouth (village), the course of the river pass mainly in agricultural zone.

## Geography

The "rivière des Saults" has its source at the confluence of the north and south branches, in the Eastern part of the territory of the municipality of Saint-Cyrille-de-Wendover. This source is located at 2.0 kilometres (1.2 mi) north of Domaine-Despins of Saint-Lucien, at 6.1 kilometres (3.8 mi) east of the village center of Saint-Cyrille-de-Wendover and at 7.3 kilometres (4.5 mi) west of the Domaine-Lampron (on the eastern shore on an elbow of Nicolet Southwest River).
From its source (confluence of two brooks), the "rivière des Saults" flows on 24.1 kilometres (15.0 mi), with a drop of 55 metres (180 ft), according to these segments:
* 11.7 kilometres (7.3 mi) toward northwest in agricultural zone of Saint-Cyrille-de-Wendover, crossing the route 255, then curving to the west, passing under the bridge of the railway, crossing the route 122, up to autoroute 20;
* 12.4 kilometres (7.7 mi) northwesterly passing about 0.3 kilometres (0.19 mi) in the western part of municipality of Notre-Dame-du-Bon-Conseil, then entering in Sainte-Brigitte-des-Saults, up to its mouth.
The "rivière des Saults" empties on the south bank (in a river elbows) of the Nicolet Southwest River, in the village of Sainte-Brigitte-des-Saults.

## Toponymy

The toponym "rivière des Saults" was formalized on December 5, 1968, at the Commission de toponymie du Québec.
# 1976 United States Senate election in Hawaii

Elections in Hawaii :
Federal government
Presidential elections
1960
1964
1968
1972
1976
1980
1984
1988
1992
1996
2000
2004
2008
2012
2016
2020
2024
Presidential primaries
Democratic
2000
2004
2008
2016
2020
2024
Republican
2008
2012
2016
2024
U.S. Senate elections
1959
1962
1964
1968
1970
1974
1976
1980
1982
1986
1988
1990
1990 sp
1992
1994
1998
2000
2004
2006
2010
2012
2014 sp
2016
2018
2022
2024
2028
U.S. House of Representatives elections
1959
1960
1962
1964
1966
1968
1970
1972
1974
1976
1978
1980
1982
1984
1986
1st sp
1988
1990
2nd sp
1992
1994
1996
1998
2000
2002
2nd sp
2003 (2nd sp)
2004
2006
2008
2010
1st sp
2012
2014
2016
1st sp
2018
2020
2022
2024 :
State government
Gubernatorial elections
1959
1962
1966
1970
1974
1978
1982
1986
1990
1994
1998
2002
2006
2010
2014
2018
2022
2026
Senate elections
2012
2014
2016
2018
2020
2022
2024
House of Representatives elections
2012
2014
2016
2018
2020
2022
2024 :
Hawaiian Kingdom era
House of Representatives
1884
1886 :
Ballot measures
1998
Amendment 2
2024
Amendment 1 :
Honolulu
Mayoral elections
2008
2010 sp
2012
2016
2020
2024 :
vte :
The 1976 United States Senate election in Hawaii took place on November 2, 1976. Incumbent Republican U.S. Senator Hiram Fong did not seek re-election to a fourth term. Democrat Spark Matsunaga won the open seat by defeating Republican William Quinn.
Primary elections were held on October 2. Former Governor William F. Quinn easily won the Republican nomination with 93 percent of the vote. In the Democratic primary, Spark Matsunaga won with 51 percent of the vote. His closest competitor was his House colleague Patsy Mink, who received 41 percent.

## Democratic primary
### Candidates

* Spark Matsunaga, U.S. Representative
* Patsy Mink, U.S. Representative from Honolulu

## General election
### Candidates

* Anthony Hodges (People's)
* Rockne Hart Johnson (Libertarian)
* James Kimmel (Independent)
* Spark Matsunaga, U.S. Congressman (Democratic)
* William Quinn, former Governor of Hawaii (Republican)

### Results

1976 U.S. Senate election in Hawaii :
| Party | Candidate | Votes | % | ±% |
| Democratic | Spark Matsunaga | 162,305 | 53.73% | +5.30% |
| Republican | William F. Quinn | 122,724 | 40.62% | −10.95% |
| People's | Anthony Hodges | 14,226 | 4.71% | |
| Independent | James Kimmel | 1,433 | 0.47% | |
| Libertarian | Rockne Hart Johnson | 1,404 | 0.46% | |
| Democratic gain from Republican | Democratic gain from Republican | Democratic gain from Republican | Democratic gain from Republican | Democratic gain from Republican |
# Rumaucourt

Rumaucourt (French pronunciation:) is a commune in the Pas-de-Calais department in the Hauts-de-France region of France about 12 miles (19 km) southeast of Arras.

## Population

The inhabitants are called Rumaucourtois.
# Nader Sufyan Abbas

Nader Sufyan Abbas (born Andrey Ivanov (Bulgarian: Андрей Иванов) on 12 December 1975) is a Qatari weightlifter who competed in the Men's 77 kg (170 lb) weight class at the 2004 Summer Olympics and finished 9th. He is the 2001 world champion.
One of eight Bulgarian weightlifters recruited by the Qatar Olympic Committee for $1,000,000, Abbas became a Qatari citizen to represent the country in the 2000 Olympics. His old name, Andrei Ivanov, was left behind in the process. Qatar has been known for recruiting sportspeople from other countries, the most notable examples being fellow weightlifter Said Saif Asaad (formerly Angel Popov of Bulgaria) and world-class runner Saif Saaeed Shaheen.
During the 2000 Summer Olympics, he dropped out shortly before the competition, citing a virus infection.
# Yousuf Al-Abdulla

Yousuf Al-Abdulla (born 26 February 1985) is a Qatari handball player for Al-Gharafa and the Qatari national team.
He participated at the 2017 World Men's Handball Championship.
# Sultan Al-Alawi

Sultan Khalfan Al-Alawi (born March 16, 1977, in Qatar) is a Qatari former professional tennis player. A top junior player in Qatar, runner-up of the International Junior Championships in 1994 and 1995, Khalfan was the most successful member of the Qatar Davis Cup team, playing 59 ties between 1993 and 2009 and compiling a 29–26 record in singles, 19–22 in doubles. He appeared nine times in the Qatar Open draw between 1996 and 2007, losing each time in the first round. Khalfan reached a career-high singles ranking of No. 950 in late 2000.
# Salem Amer Al-Badri

Salem Amer Al-Badri (birth name Moses Chirchir; born 12 December 1985 in Kenya) is a retired middle-distance runner who competed internationally for Qatar mostly in the 800 metres event. He jointly holds the Asian record in the rarely contested 4 × 800 metres relay.
His 800 metres personal bests are 1:45.45 seconds outdoors and 1:50.93 indoors, both set in 2006.

## Competition record

| Year | Competition | Venue | Position | Event | Notes |
| Representing Qatar ||||||
| 2000 | Asian Championships | Jakarta, Indonesia | 6th | 800 m | 1:52.43 |
| 2000 | World Junior Championships | Santiago, Chile | 4th | 800m | 1:48.51 |
| 2001 | World Youth Championships | Debrecen, Hungary | 1st | 800 m | 1:50.15 |
| 2001 | Asian Junior Championships | Bandar Seri Begawan, Brunei | 1st | 800 m | 1:51.15 |
| 2002 | West Asian Games | Kuwait City, Kuwait | 2nd | 800 m | 1:49.70 |
| 2002 | World Junior Championships | Kingston, Jamaica | 2nd | 800 m | 1:46.63 |
| 2002 | Asian Championships | Colombo, Sri Lanka | 2nd | 800 m | 1:48.95 |
| 2002 | Asian Games | Busan, South Korea | 6th | 800 m | 1:48.07 |
| 2003 | Asian Championships | Manila, Philippines | 2nd | 800 m | 1:46.95 |
| 2004 | Asian Junior Championships | Ipoh, Malaysia | 1st | 800 m | 1:50.52 |
| 2005 | Asian Indoor Games | Pattaya, Thailand | 2nd | 800 m | 1:52.27 |
| 2005 | Asian Indoor Games | Pattaya, Thailand | 3rd | 4 × 400 m relay | 3:21.40 |
| 2006 | Asian Indoor Championships | Pattaya, Thailand | 1st | 800 m | 1:50.93 |
| 2006 | Asian Games | Doha, Qatar | 8th (h) | 800 m | 1:52.73 |
| 2006 | Asian Games | Doha, Qatar | – | 4 × 400 m relay | DQ |
# Mohammed Abduh Bakhet

Mohammed Abduh Bakhet (born 25 December 1987, Doha) is a Qatari long-distance runner.
He finished eighth in the 10,000 metres at the 2006 World Junior Championships, 21st at the 2007 World Road Running Championships and did not finish the race at the 2010 World Cross Country Championships.
His personal best times are 29:18.76 minutes in the 10,000 metres, achieved at the 2006 World Junior Championships in Beijing; 1:01:38 hours in the half marathon, achieved at the 2007 World Road Running Championships in Udine; and 2:12:14 hours in the marathon, achieved in January 2012 in Dubai.
He competed in the marathon at the 2012 Summer Olympics, finishing in 68th place.
# Ahmed Al-Bardiny

Ahmed Al-Bardiny (born April 4, 1990) is a Qatari cyclist, who last rode for the Sharjah Team. He rode at the 2013 UCI World Time Trial Championships.

## Major results
### 2013

    1st Stage 3 Sharjah Cycling Tour

### 2022

    2nd Road race, National Road Championships
# Issa Al-Harrasi

Issa Shanan Al-Harrasi (born 19 August 1999) is a Qatari tennis player.
Alharrasi has a career high ATP doubles ranking of 1829 achieved on 25 October 2021.
Alharrasi made his ATP main draw debut at the 2022 Qatar ExxonMobil Open after receiving a wildcard into the doubles main draw with Illya Marchenko. He also represents Qatar at the Davis Cup, where he has a W/L record of 1–2.
# Mustafa Al-Karad

Mustafa Al-Salti Al-Karad (born 16 March 1987) is a Syrian-born Qatari handball player for Al Sadd and the Qatari national team.
He competed at the 2016 Summer Olympics.
He also played for Syrian national team from 2006 to 2010.
# Bassem Hassan Mohammed

Bassem Hassan Mohammed (born 31 May 1987) is a Qatari equestrian. He competed in the individual jumping competition at the 2016 Summer Olympics. Bassem Hassan Mohammed was positive in a doping test done during an Olympic qualifier in Rabat in October 2019.
# Salaheddine Bakar Al-Safi

Salaheddine Bakar Al-Safi (born 1 April 1980) is a Qatari sprinter. He competed in the men's 400 metres at the 2000 Summer Olympics.
# Malek Saleem

Malek Saleem Abdullah (born 13 May 1985) is a Qatari professional basketball player. He currently plays for Al Wakrah of the Qatari Basketball League.
He represented Qatar's national basketball team at the 2016 FIBA Asia Challenge in Tehran, Iran. There, he was his team's best free throw shooter.
# 146 (number)

146 (one hundred [and] forty-six) is the natural number following 145 and preceding 147.

## In mathematics

146 is an octahedral number, the number of spheres that can be packed into in a regular octahedron with six spheres along each edge. For an octahedron with seven spheres along each edge, the number of spheres on the surface of the octahedron is again 146. It is also possible to arrange 146 disks in the plane into an irregular octagon with six disks on each side, making 146 an octo number.
There is no integer with exactly 146 coprimes less than it, so 146 is a nontotient. It is also never the difference between an integer and the total of coprimes below it, so it is a noncototient. And it is not the sum of proper divisors of any number, making it an untouchable number.
There are 146 connected partially ordered sets with four labeled elements.
# Majed Saeed Sultan

Majed Saeed Sultan (Arabic: ماجد سعيد سلطان; born Elijah Kosgei on November 3, 1986, in Kenya) is a middle-distance runner now representing Qatar after switching from Kenya. He specializes at the 800 metres, a distance where he became 2004 world junior champion and competed in the Olympic Games in Athens.
In September 2005 he became Asian champion.
# Khalid Habash Al-Suwaidi

Khalid Habash Al-Suwaidi (born 10 October 1984 in Qatar) is a male shot putter from Qatar.

## Biography

His personal best throw is 20.54 metres, achieved in June 2005 in Minsk. This is the Qatari record.

## Achievements

| Year | Competition | Venue | Position | Event | Notes |
| Representing Qatar ||||||
| 1999 | World Youth Championships | Bydgoszcz, Poland | 3rd | Shot put (5 kg) | 19.44 m |
| 1999 | World Youth Championships | Bydgoszcz, Poland | 8th | Discus throw (1.5 kg) | 54.35 m |
| 1999 | Asian Junior Championships | Singapore | 8th | Shot put | 15.73 m |
| 2000 | Asian Championships | Jakarta, Indonesia | 11th | Shot put | 15.67 m |
| 2000 | Asian Championships | Jakarta, Indonesia | 13th | Discus throw | 47.18 m |
| 2000 | World Junior Championships | Santiago, Chile | — | Shot put | NM |
| 2001 | World Youth Championships | Debrecen, Hungary | 4th | Shot put (5 kg) | 19.43 m |
| 2001 | World Youth Championships | Debrecen, Hungary | 1st | Discus throw (1.5 kg) | 62.67 m |
| 2001 | Asian Junior Championships | Bandar Seri Begawan, Brunei | 4th | Shot put | 16.96 m |
| 2001 | Asian Junior Championships | Bandar Seri Begawan, Brunei | 3rd | Discus throw | 55.28 m |
| 2002 | World Junior Championships | Kingston, Jamaica | 10th | Shot put (6 kg) | 18.66 m |
| 2002 | World Junior Championships | Kingston, Jamaica | 4th | Discus throw (1.75 kg) | 61.21 m |
| 2002 | Asian Championships | Colombo, Sri Lanka | 4th | Discus throw | 57.74 m |
| 2002 | Asian Junior Championships | Bangkok, Thailand | 1st | Shot put (6 kg) | 20.29 m |
| 2002 | Asian Junior Championships | Bangkok, Thailand | 1st | Discus throw (1.75 kg) | 63.17 m |
| 2003 | Asian Championships | Manila, Philippines | 2nd | Shot put | 18.57 m |
| 2003 | Asian Championships | Manila, Philippines | 5th | Discus throw | 58.20 m |
| 2004 | World Indoor Championships | Budapest, Hungary | 13th (q) | Shot put | 19.82 m |
| 2005 | World Championships | Helsinki, Finland | 12th (q) | Shot put | 19.72 m |
| 2005 | Asian Championships | Incheon, South Korea | 1st | Shot put | 19.45 m |
| 2006 | Asian Games | Doha, Qatar | 2nd | Shot put | 20.05 m |
| 2007 | Asian Championships | Amman, Jordan | 3rd | Shot put | 19.51 m |
| 2007 | World Championships | Osaka, Japan | 25th (q) | Shot put | 19.09 m |
| 2007 | Pan Arab Games | Cairo, Egypt | 1st | Shot put | 19.56 m |
| 2010 | Asian Games | Guangzhou, China | 7th | Shot put | 18.02 m |
| 2011 | Pan Arab Games | Doha, Qatar | 3rd | Shot put | 17.79 m |
# Thulasi Tharumalingam

Thulasi Tharumalingam (born 24 October 1992) is a German-Qatari boxer of Sri Lankan Tamil descent. He competed in the men's light welterweight event at the 2016 Summer Olympics.
# Rasheed Yusuff

Rasheed Yusuff (born 16 October 1994) is a Qatari handball player for Al Sadd and the Qatari national team.
He represented Qatar at the 2019 World Men's Handball Championship. He was part of the Qatari team that won gold medals at the 2018 Asian Games in Jakarta.
# Khalid Jaberti

Khalid Jaberti is an Ethiopian-born Qatari football player.
# Khaled Al Zakiba

Khaled Al Zakiba is a Qatari footballer who is a defender. He is a member of the Qatar national football team.

## Club career statistics

Statistics accurate as of 21 August 2011
| Club | Season | League | League | League | Cup | Cup | League Cup | League Cup | Continental | Continental | Total | Total |
| Club | Season | League | Apps | Goals | Apps | Goals | Apps | Goals | Apps | Goals | Apps | Goals |
| Al-Shamal | 2003–04 | QSL | 5 | 0 | | | | | | | | |
| Al-Shamal | 2004–05 | QSL | 4 | 0 | | | | | | | | |
| Al-Shamal | 2005–06 | QSL | 0 | 0 | | | | | | | | |
| Al-Shamal | 2006–07 | QSL | 17 | 0 | | | | | | | | |
| Al-Shamal | Total | Total | 26 | 0 | | | | | | | | |
| Qatar SC | 2007–08 | QSL | 16 | 1 | | | | | | | | |
| Qatar SC | 2008–09 | QSL | 19 | 0 | | | | | | | | |
| Qatar SC | 2009–10 | QSL | 21 | 0 | | | | | | | | |
| Qatar SC | 2010–11 | QSL | 1 | 0 | | | | | | | | |
| Qatar SC | 2011-12 | QSL | | | | | | | | | | |
| Qatar SC | Total | Total | 57 | 1 | | | | | | | | |
| Career total | Career total | Career total | 83 | 1 | | | | | | | | |
$^1$Includes Emir of Qatar Cup.
$^2$Includes Sheikh Jassem Cup.
$^3$Includes AFC Champions League.
# Monkez Adi

Monkez Adi (Arabic:منقذ عدي) (born 22 January 1997) is a Qatari footballer. He currently plays as a right back for Muaither. He has also played for the Qatar U-20 team.

## Career
### Youth career

Monkez Adi started his career at Al-Gharafa and is a product of the Aspire Academy's youth system.

### Eupen

On 8 July 2016, left Al-Gharafa and signed with Eupen on loan of the season.

### Al-Gharafa

In 2017/2018 Season back To Al-Gharafa . On 15 July 2017, Monkez Adi made his professional debut for Al-Gharafa against Al-Ahli in the Pro League .

## Personal life

Monkez Adi was born in the Qatari capital, Doha, to Syrian parents from the city of Hama.
# Polynomial expansion

In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a sum of (repeated) products. During the expansion, simplifications such as grouping of like terms or cancellations of terms may also be applied. Instead of multiplications, the expansion steps could also involve replacing powers of a sum of terms by the equivalent expression obtained from the binomial formula; this is a shortened form of what would happen if the power were treated as a repeated multiplication, and expanded repeatedly. It is customary to reintroduce powers in the final result when terms involve products of identical symbols.
Simple examples of polynomial expansions are the well known rules
    $(x+y)^{2}=x^{2}+2xy+y^{2}$
    $(x+y)(x-y)=x^{2}-y^{2}$
when used from left to right. A more general single-step expansion will introduce all products of a term of one of the sums being multiplied with a term of the other:
    $(a+b+c+d)(x+y+z)=ax+ay+az+bx+by+bz+cx+cy+cz+dx+dy+dz$
An expansion which involves multiple nested rewrite steps is that of working out a Horner scheme to the (expanded) polynomial it defines, for instance
    $1+x(-3+x(4+x(0+x(-12+x\cdot 2))))=1-3x+4x^{2}-12x^{4}+2x^{5}$.
The opposite process of trying to write an expanded polynomial as a product is called polynomial factorization.

## Expansion of a polynomial written in factored form

To multiply two factors, each term of the first factor must be multiplied by each term of the other factor. If both factors are binomials, the FOIL rule can be used, which stands for "First Outer Inner Last," referring to the terms that are multiplied together. For example, expanding
    $(x+2)(2x-5)\,$
yields
    $2x^{2}-5x+4x-10=2x^{2}-x-10.$

## Expansion of (x+y)$^n$

    Main article: Binomial theorem
When expanding $(x+y)^{n}$, a special relationship exists between the coefficients of the terms when written in order of descending powers of x and ascending powers of y. The coefficients will be the numbers in the (n + 1)th row of Pascal's triangle (since Pascal's triangle starts with row and column number of 0).
For example, when expanding $(x+y)^{6}$, the following is obtained:
    ${\color {red}1}x^{6}+{\color {red}6}x^{5}y+{\color {red}{15}}x^{4}y^{2}+{\color {red}{20}}x^{3}y^{3}+{\color {red}{15}}x^{2}y^{4}+{\color {red}{6}}xy^{5}+{\color {red}1}y^{6}\,$