Question

From the 12 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, power forward, small forward, shooting guard and point guard. How many ways are there for her to select the starting line-up

Answer 1

95040 ways

Explanation:

If we have 12 players, but of those 12 only 5 can be on the playing field, since there are only 5 positions, to know the different ways to assemble the team, we must calculate them by means of permutations, when n = 12 and r = 5.

nPr = n! / (n-r)!

replacing:

12P5 = 12! / (12-5)!

12P5 = 95040

In other words, there are a total of 95040 ways of assembling the equipment.