Question

There are 15 people on a basketball team, and the coach needs to choose 5 to put into

a game. How many different possible ways can the coach choose a team of 5 if each
person has an equal chance of being selected?

Answer 1

The coach can do this in 3,003 ways

Explanation:

Here, the coach needs to select a team of 5 from a total of 15 players

Mathematically, the number of ways this can be done is simply 15 C5 ways

Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n!/(n-r)!r!

Applying this to the situation on ground, we have;

15C5 = 15!/(15-5)!5! = 15!/10!5! = 3,003 ways