4. Let n ? 8 be an even integer and let k be an integer...
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4. Let n ? 8 be an even integer and let k be an integer with 2 ?k ? n/2. Consider k-element subsets of the set S = {1, 2, . . . ,n}. How many such subsets contain at least two even numbers?
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Since is an eveninteger let n2m And let k be an integer such that Now the set S has 2m elements so from S we can choose k elementsin waysie S has numbers ofkelement subsetsNow to find the number of subsets containing atleast two
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