Question

На нижнюю полку ставят 6 разных книг. Сколькими способами эти книги можно разместить на полке?

Answer 1

Это размещение:

n и k у нас равно 6
При k=n количество размещений равно количеству перестановок порядка n:

считаем факториал 6!=720

720 способов

Answer 2

Calculating the Number of Ways to Arrange 6 Different Books on a Shelf

To calculate the number of ways to arrange 6 different books on a shelf, we can use the formula for permutations, which is given by:

n! / (n - r)!

Where: - n is the total number of items - r is the number of items to arrange

In this case, we have 6 different books to arrange, so n = 6 and r = 6.

Using the formula, we can calculate the number of ways to arrange the books.

Calculation

Using the formula n! / (n - r)!, where n = 6 and r = 6:

6! / (6 - 6)!

6! / 0!

6! / 1

6!

Result

The number of ways to arrange 6 different books on a shelf is 720.

[[6 #]] provides a detailed explanation of permutations and combinations, which supports the calculation of the number of ways to arrange the books.