Suppose that for each member of a family of five people, all months are equally likely to
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Suppose that for each member of a family of five people, all months are equally likely to be that of the birthday. Find the probabilities that
(a) All five were born in the same month;
(b) All five were born in different months;
(c) Two were born in the same month, two in another month, and one in a month different from the first two.
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