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Question

Our basketball team has 12 members, each of whom can play any position. In how many ways can we choose a starting lineup consisting of a center, a power forward, a shooting forward, a point guard, and a shooting guard?

Accepted Answer

There are 12 choices for the first position, then 11 players to choose from for the second, then 10 for the third, then 9 for the fourth, and finally just 8 for the fifth, for a total of 12 11 10 9 8 = 95,!040.