statistics/ probability

Question

the senate consists of 13 women and 87 men. If three senators are randomly selected how many ways can you select all women ?

Answer 1

Note that the question doesn't ask the probability of choosing three women out of three, just how many ways three women can be chosen. Note also that no one may be chosen more than once.

The easy way to conceptualize this is to pick one woman - of whom there are thirteen - then a second woman - there are now twelve since you already picked one - and finally a third woman - eleven are left because two have been chosen. The final answer is 13 x 12 x 11 = 1,716.