What are Combinations | Permutation vs Combination |  Contemporary Mathematics
Channel: MathHub TV
Date: 14/04/2021

What are combinations?  A combination of items occurs when:
(i)  the items are selected from the same group.
(ii)  No item is used more than once.
(iii)  The order of items makes no difference.

In this lesson, I will be giving the difference between permutation and combination.  This lesson is covered in the course Contemporary Mathematics.

At the end of the lesson, I will be discussing the following word problems:
1.  How many three-person committees could be formed from 8 people?
2.  In December, 2011, the U.S Senate consisted of 51 Democrats and 47 Republicans and 2 Independents. How many distinct five-person committees can be formed if each committee must have 3 Democrats and 2 Republicans?

⏲️ Timestamps ⏲️
Introduction (0:00)
Definition of combination (0:03)
Permutation vs Combination (0:35)
Combination or Permutation? (1:10)
Comparing between Combination and Permutation (3:07)
Formula for combination (5:41)
Example 1 (6:16)
Example 2 (8:08)
 
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