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A small high school has one student council for the entire student population. The freshmen and s...

A small high school has one student council for the entire student population. The freshmen and sophomores fill the Treasurer and Secretary positions, while the juniors and seniors fill the Vice President and President's positions. If there are 14 freshmen and sophomores running and 20 juniors and seniors running, how many student councils can be formed?

Jake has two different bags of candy. In one he has 12 red and blue candies, and in the other bag he has 22 green and orange candies. If he eats two, one after the other, out of each bag, how many ways can he eat the candies?

A 20 question multiple choice test consists of questions that have 3 answer choices each. If you guess on each question and each choice has the same chance of being chosen, estimate the probability that you get at least 65% correct to pass.

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Answer #1

1)

14p2 .20p2=182x380 =69,160

2) there are two bags of candies,he can eat candies in various ways

  12p2 x22p2=132x462=60,984

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