Вычислите значение выражения:

а) 12!/9!

б) 14!/12!

в) 30! / 29! ⋅ 2!

г) 36! / 2! ⋅ 34!

д) 15! / 2! ⋅ 16!

е) 25! / 23! ⋅ 5!

Решение:

а) 12!/9! = 10 ⋅ 11 ⋅ 12 = 1320

б) 14!/12! = 12! ⋅ 13 ⋅ 14 / 12! = 182

в) 30! / 29! ⋅ 2! = 29! ⋅ 30 / 29! ⋅ 1 ⋅ 2 = 15

г) 36! / 2! ⋅ 34! = 34! ⋅ 35 ⋅ 36 / 1 ⋅ 2 ⋅ 34! = 35 ⋅ 18 = 630

д) 15! / 2! ⋅ 16! = 15! / 1 ⋅ 2 ⋅ 15! ⋅ 16 = 1 / 2 ⋅ 16 = 1/32

е) 25! / 23! ⋅ 5! = 23! ⋅ 24 ⋅ 25 / 23! ⋅ 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 = 5

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