I how many ways can the 36 members of a club select a presid

I how many ways can the 36 members of a club select a president, a vice-president, a secretary, and a treasurer? In how many different ways can a person choose three movies to see if there are 12 movies available at the video store? The softball coach is determining the batting order for the nine-member team. The catcher and pitcher will bat 5th and 9th, respectively. Howl many batting orders can the coach form? A committee consisting of 12 girls and 8 boys is planning the senior prom. The committee randomly selects six members to for a subcommittee to be in charge of decorating. What is the probability that the subcommittee will have 2 girls and 4 boys?

Solution

8.

Here, rank means order matters.

Hence, there are 36P4 = 1413720 [answer]

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9.

Order does not matter here, so we do combinations.

Hence, there are 12C3 = 220 ways [answer]

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