Question: Five people, designated as A, B, C, D, E, are arranged in linear order. Assuming that each possible order is equally likely, what is the

Five people, designated as A, B, C, D, E, are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that
(a) There is exactly one person between A and B?
(b) There are exactly two people between A and B?
(c) There are three people between A and B?

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