Question

15 women are trying out for parts in a production of snow white in how many ways can three different women be selected to play snow white her evil stepmother and wicked witch

Answer 1

455 possible ways

Explanation:

We are told that 15 women are trying out for parts in a production of snow white.

Now, we want to find the number of ways that 3 women can be selected to play.

This is simply a combination question.

Thus;

Number of ways = C(15, 3) = 15!/((15 - 3)!(3!) = 15!/(12! × 3!) = (15 × 14 × 13 × 12!)(12! × 3 × 2 × 1)

12! will cancel out to give;

(15 × 14 × 13)/6 = 455