ALGEBRA 2 PROBOBILTY QS

Question

Spyder owns 12 pairs of shoes and is selecting the ones he will throw away. how many differnt ways can spyder choose a group of 5 pairs of shoes to throw away?

Answer 1

We use permutations to figure out how many ways can Spyder choose 5 pairs of shoes to throw away.

P(n, k) = n! / (n - k)!

n = the number of pairs of shoes

k = the number of selected pairs of shoes to throw away

P(12, 5) = 12! / (12 - 5)! = 12! / 7! = 95,040

There are 95,040 ways for Spyder to choose 5 pairs of shoes to throw away.