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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