Question: What year was the census when the census-designated place in the town of North Hempstead in Nassau County was 4,981 and the county census was 1,339,532?

Context paragraphs:
Old Country Road: Old Country Road is a major east–west thoroughfare through central Nassau County and extending into western Suffolk County on Long Island, New York.  It serves many of the major shopping centers in central Nassau County including Roosevelt Field Mall.  The road also forms part of the border between the towns of Hempstead and North Hempstead.  In Nassau County, Old Country Road is county-maintained as the unsigned County Route 25 (CR 25) west of Round Swamp Road.

Manhasset, New York: Manhasset is a hamlet and census-designated place (CDP) in Nassau County, New York, on the North Shore of Long Island.  As of the 2010 United States Census, the population was 8,080.  As with other unincorporated communities in New York, its local affairs are administered by the town in which it is located, the Town of North Hempstead, New York.

Toll Gate House: The Roslyn East Gate Toll House is located within the "Roslyn Cemetery" on Route 25A (Northern Boulevard) in Greenvale in the Town of North Hempstead, Nassau County, New York It was built in 1864 and is the last remaining toll house for the North Hempstead Turnpike.  It is frequently but incorrectly assumed to be a toll house for the "Vanderbilt Motor Parkway" which ran considerably south of this location.

Floral Park, New York: Floral Park is an incorporated village in Nassau County, New York, United States, on Long Island.  The neighborhood of Floral Park in the New York City borough of Queens, is adjacent to the village.  The village is at the western border of Nassau County, and is located mainly in the Town of Hempstead, while the section north of Jericho Turnpike is within the Town of North Hempstead.  The population as of the US Census of 2010 is 15,863.

Garden City Park, New York: Garden City Park is a hamlet and census-designated place (CDP) located in the Town of North Hempstead in Nassau County on Long Island in the U.S. state of New York.  The population was 7,806 at the 2010 census.  From about 1787 until about 1874, when the area was known as Clowesville, the county seat of Queens County was located here, along with the county courthouse and jail.

Manhasset Hills, New York: Manhasset Hills is a hamlet and census-designated place (CDP) in Nassau County, New York, United States.  The population was 3,592 at the 2010 census.  Manhasset Hills is an unincorporated area of the Town of North Hempstead.  Neighboring communities include Herricks, North New Hyde Park, and Lake Success.

East Garden City, New York: East Garden City is a hamlet and census-designated place (CDP) in the northeast part of the Town of Hempstead, in the central part of Nassau County, New York, along the Hempstead/North Hempstead town line.  The population was 6,028 at the 2010 census.  East Garden City is a hamlet (an unincorporated area) and a mostly commercial and industrial area.  Part of Hofstra University's north campus is located in East Garden City.

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.

Carle Place, New York: Carle Place is a hamlet and census-designated place (CDP) in the Town of North Hempstead in Nassau County, New York, United States.  The CDP's population was 4,981 at the 2010 census.

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.

Supporting paragraphs: Carle Place, New York Nassau County, New York
Answer: 2010