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5 votes
How many ways exist to encage 5 animals in 11 cages if all of

them should be in different cages.

User AnthonyR
by
8.2k points

1 Answer

6 votes

Answer:

This problem can be solved using the permutation formula, which is:

nPr = n! / (n - r)!

where n is the total number of items (cages in this case) and r is the number of items (animals in this case) that we want to select and arrange.

In this problem, we want to select and arrange 5 animals in 11 different cages, so we can use the permutation formula as follows:

11P5 = 11! / (11 - 5)!

= 11! / 6!

= 11 x 10 x 9 x 8 x 7

= 55,440

Therefore, there are 55,440 ways to encage 5 animals in 11 cages if all of them should be in different cages.

User Winnemucca
by
8.4k points

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