You own 9 pairs of pants and want to take 4 of them with you on vacation. In how many ways can you choose 4 pairs of pants to bring?

1 answer

The order in which the pants are chosen doesn't matter, so this is a combination problem. We want to choose 4 pants out of 9, which we can write as:

9 C 4

Using the formula for combinations, we get:

9 C 4 = 9! / (4! * 5!) = (9*8*7*6) / (4*3*2*1) = 126

Therefore, there are 126 ways to choose 4 pairs of pants out of 9.