Найдите значение выражения: а) 15!/14!; б) 8!/10!; в) 42!/40!; г) 16! / 14!⋅3!; д) 28! / 4!⋅26! е) 45! /43! ⋅ 3!

Решение:

а) 15!/14! = 14! ⋅ 15 / 14! = 15

б) 8!/10! = 8!/8! ⋅ 9 ⋅ 10 = 1/90

в) 42!/40! = 40! ⋅ 41 ⋅ 42 / 40! = 41 ⋅ 42 = 1722

г) 16! / 14!⋅3! = 14! ⋅ 15 ⋅ 16 / 14! ⋅ 1 ⋅ 2 ⋅ 3 = 5 ⋅ 8 = 40

д) 28! / 4!⋅26! = 26! ⋅ 27 ⋅ 28 / 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 26! = 9 ⋅ 7 / 2 = 31,5

е) 45! /43! ⋅ 3! = 43! ⋅ 44 ⋅ 45 / 43! ⋅ 1 ⋅ 2 ⋅ 3 = 22 ⋅ 15 = 330

Источник : Учебник по Алгебре 9 класса авторов Ю.Н. Макарычев, Н.Г. Миндюк, К.И. Нешков, С.Б. Суворова, 2014г.