Question: H. Frank Carey Junior-Senior High School serves students in the census-designated place in what New York county?

full_context: Document 1: Sewanhaka Central High School District: The Sewanhaka Central High School District is a central high school district located in western Nassau County on Long Island, in New York State. The district is currently composed of five high schools: Sewanhaka High School, Elmont Memorial High School, New Hyde Park Memorial High School, Floral Park Memorial High School, and H. Frank Carey Junior-Senior High School.
Document 2: Van Wyck Junior High School: Van Wyck Junior High School (pronounced Van Wike) is an intermediate school in Hopewell Junction, New York, United States, located at 6 Hillside Lake Road and is a part of the Wappingers Central School District. The school opened its doors in 1964 and presently teaches grades seven through eight. New construction of homes in the area have led to overcrowding in Van Wyck and the district's other junior high, Wappingers Junior High School. Incapacity led to the western-most wing (which runs north-south) to be added to the school, which now serves the sixth grade. The extension is only noticeable in the new rooms which touch where the outside of the school once was: normal-sized bricks are seen on the eastern walls of those rooms, while the rest have walls made of cinder blocks. In late 2004, modular classrooms were opened approximately 75 ft south of the existing building to accommodate some sixth-grade classes which the school could not hold. The present principal is Steven Shuchat.
Document 3: Garden City South, New York: Garden City South is a hamlet and census-designated place (CDP) in Nassau County, New York, United States. The population was 4,024 at the 2010 census.
Document 4: Huntington Union Free School District: The Huntington Union - Free School District is a school district in Huntington, New York. There are eight schools in the district. Students in kindergarten through grade 4 are situated at Flower Hill Primary, Jefferson Primary, Southdown Primary and Washington Primary Schools. The Jack Abrams STEM Magnet School includes students in grades 3-6 from throughout the district. Woodhull Intermediate School houses students in grades 5 and 6. J. Taylor Finley Middle School serves students in grades 7 and 8. Huntington High School serves students in grades 9 through 12.
Document 5: Carver Middle High School: Carver Middle High School is a public school located in Carver, Massachusetts. This school was formerly two different schools, Carver Middle School (6–8) and Carver High School (9–12) in one building with both schools sharing the library and auditorium. The school became under one principal in 2008–09 school year. This school became officially Carver Middle High School the following school year. It is located at 60 South Meadow Rd. and has an enrollment of 489 students in grades 6–8, and 537 students in grades 9–12. The school's mascot is the Crusaders and the school colors are Maroon and Silver/Gray. The principal is Mr. Scott Knief. The assistant principals are Christine Cabral, (6–8), Mark Souza (9–12), and Michael Schultz
Document 6: Summit School (Queens): The Summit School is a state approved, private special education school in the Queens borough of New York City. It operates on two campuses in Queens and surrounds the St. John's University campus. The Lower School, which educates elementary and middle school students, utilizes space in the Hillcrest Jewish Center, and the Summit's Upper School serves high school students. It is currently directed by Alexandra Tzeroya under the mentorship of Director Emeritus Judith Gordon, who co-founded and revised the school. In contrast to most private schools, which are independently operated, Summit is tuition-free and accepts students from all five boroughs of New York City as well as from Westchester, Nassau, Suffolk, and Rockland Counties.
Document 7: Nassau County, New York: Nassau County is a suburban county on the western side of Long Island in the U.S. state of New York. At the 2010 census, the county's population was 1,339,532, estimated to have increased to 1,361,500 in 2016. The county seat is in the Village of Garden City, within the boundaries of the Mineola 11501 zip code.
Document 8: Garden City Union Free School District: Garden City Union Free School District is headquartered at 56 Cathedral Avenue in Garden City, NY 11530 (phone 516-478-1000). The Garden City Union Free School District is rated 35th in New York and 74th overall in the country.
Document 9: Lincoln High School (Yonkers, New York): Lincoln High School is located in Yonkers, New York. It is one of the seven public high schools in the city and has an enrollment of about eight hundred students. The front portion of the building was opened in 1953 as Southeast Yonkers Jr., Sr. High School with grades 6 through 8. It was completed in 1955 and renamed Lincoln Junior-Senior High School the following year. After the first year, 6th grade was dropped and 9th grade added and when the building was completed it became Lincoln Junior-Senior High School, enrolling grades 7 through 12. In the late 1970s, the junior high grades were removed, and the school became a four-year, grade 9-12, high school. Unlike what many believe, the school was named Lincoln after the area of Yonkers it was situated in, rather than for Abraham Lincoln. The first graduating class which went continuously from 6th grade to 12th grade graduated in 1960 with a very high percentage going on to college. Several graduates returned to Lincoln as teachers. The school colors are purple and white and mascot a Lancer both chosen by the 1960 class.
Document 10: Garden City, South Carolina: Garden City, sometimes known as Garden City Beach, is a census-designated place (CDP) in Horry County, South Carolina, United States. While Garden City is sometimes considered to be a city it is not incorporated and does not yet have a city council or mayor. The population was 9,357 at the 2000 census and the 2010 population estimate is around 11,014. Garden City Beach is located directly south of Surfside Beach and ends on a peninsula at the mouth of Murrells Inlet.
Document 11: Salisbury, Nassau County, New York: Salisbury is a hamlet and census-designated place (CDP) in Nassau County, New York, United States. The population was 12,093 at the 2010 census. Many [William Levitt|Levitt]] style homes lie adjacent to Eisenhower Park, formerly Salisbury Park. Although sometimes referred to by realtors as "South Westbury", Salisbury is located in the Town of Hempstead, but located in the Westbury postal zone, served by the Westbury Railroad Station of the Long Island Railroad, shares fire districts with Westbury and East Meadow, and is within the East Meadow School District. The hamlet is 90% residential, with strip malls along Old Country Road and Carmen Avenue. There is a single house of worship, a Conservative Jewish synagogue. Most residents attend religious services in Westbury-proper. Nassau County Medical Center is nearby in East Meadow
Document 12: H. Frank Carey Junior-Senior High School: H. Frank Carey High School is a public high school located in Franklin Square, New York serving students in the seventh through twelfth grades from the towns of Franklin Square, Garden City South, West Hempstead, and Elmont. The school's principal was Valerie Angelillo up until the 2016-2017 school year, when she was replaced by Christopher Fiore.
Document 13: Garden City, New York: Garden City is an incorporated village in the town of Hempstead, in central Nassau County, New York, in the United States. It was founded by multi-millionaire Alexander Turney Stewart in 1869, and is on Long Island, to the east of New York City, 18.5 miles (29.8 km) from midtown Manhattan. The village is located mostly in the Town of Hempstead with a small portion in the Town of North Hempstead.
Document 14: Levittown, New York: Levittown, formerly Island Trees, is a hamlet and census-designated place (CDP) in the Town of Hempstead in Nassau County, New York on Long Island. It is located half way between the villages of Hempstead and Farmingdale. As of the 2010 census, the CDP had a total population of 51,881, making it the most populated CDP in Nassau County and the second most populated CDP on Long Island, behind only Brentwood.
Document 15: Carle Place High School: Carle Place Middle/High School is a six-year comprehensive public high school located in the hamlet of Carle Place in Nassau County, New York.
ground_truth: Nassau