Предмет: Математика, автор: AleksSuperMan

Сколько существует различных шестизначных чисел, у которых третья цифра 33, пятая цифра 55, а остальные цифры чётные? Цифры в записи числа не должны повторяться.

Ответы

Автор ответа: Oлимпиада

Задание № 1:

Сколько существует различных шестизначных чисел, у которых третья цифра 3, пятая цифра 5, а остальные цифры чётные? Цифры в записи числа не должны повторяться.

на первом месте любая четная цифра кроме нуля (2468) - 4 варианта

на втором месте любая четная цифра (02468), кроме одной использованной раньше - 4 варианта

на четвертом месте любая четная цифра (02468), кроме двух использованных раньше - 3 варианта

на шестом месте любая четная цифра (02468), кроме трех использованных раньше - 2 варианта

4*4*3*2=96

ответ: 96

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