An artist is trying to choose 5 covers for children's books. There are 10 different covers to choose from. How many ways can the artist choose covers? (It's a permutation and combination kind of problem)

Question

Mathematics

Miley Barajas

1 April, 20:30

An artist is trying to choose 5 covers for children's books. There are 10 different covers to choose from. How many ways can the artist choose covers? (It's a permutation and combination kind of problem)

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Answers (1)

Know the Answer?

Amber Forbes · Answer 1

252

Step-by-step explanation:

The order of the books isn't important, so we'll use combinations.

The number of ways to choose 5 books from 10 is:

₁₀C₅ = 10! / (5! (10 - 5) !)

₁₀C₅ = 10! / (5! 5!)

₁₀C₅ = 10*9*8*7*6 / (5*4*3*2*1)

₁₀C₅ = 252