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How many 6-element subsets of a = {0, 1, 2, 3, 4, 5, 6, 7, 89) have exactly three even elements? how many do not

How many 6-element subsets of a = {0, 1, 2, 3, 4, 5, 6, 7, 89) have exactly three even elements? how many do not have exactly three even elements?

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