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A full house is a five-card hand with a three-of-a-kind and a pair of different ranks. We say that a full house is split if

A full house is a five-card hand with a three-of-a-kind and a pair of different ranks. We say that a full house is split if the ranks are not consecutive. Thus, {3,5} are split but {7,8} are not. We say that A and K are consecutive. How many split full houses can be formed?

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