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1. Show solution. How many different committees of 5 can be selected from 15 Juniors and 10 Seniors if it must contain at least 3

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How many different committees of 5 can be selected from 15 Juniors and 10 Seniors if it must contain at least 3 Juniors?

Ans: 371282.

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A box contains 3 white balls and 3 black balls. If they are drawn out at random, one at a time, what is the probability that they will be alternately white and black until the box is empty?Ans: 1/20

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