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1. Show solution. A student taking a true-false test consisting of 15 questions guesses at the answer. Assuming that he is equally likely to make

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A student taking a true-false test consisting of 15 questions guesses at the answer. Assuming that he is equally likely to make a correct or an incorrect guess on each question, find the probability that 8 of his answers will be right and the rest wrong.

Ans: 6435/32768

2. Show solution and illustration.In how many different orders can 7 books be arranged on a shelf if this 3-volume work is not merely not to be separated but must be kept in the proper order.Ans: 120

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