Of the 15 players on a basketball team six play guard six pl

Of the 15 players on a basketball team, six play guard, six play forward, and tree play center. How many starting lineups can be formed from 15 players? (as lineup has two guards, two forwards, and one center) P(A) = 0.61 P(B) = 0.39 P(AUB) = 0.75 P(A B) = P(A) = P (B) = 3/8 P(AUB)= 7/16

Solution

15.

There are 6C2 ways to choose guards, 6C2 ways to choose forwards, and 3C1 to choose center.

Thus, there are (6C2)(6C2)(3C1) = 675 starting lineups [answer]

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