Question: Here is the problem. No other info is provided: Determine the number of k-element subsets of [n] such that the i-th largest element of the

Here is the problem. No other info is provided: Determine the number of k-element subsets of [n] such that the i-th largest element of the subset is congruent to i mod 2.

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Determine the number of k-element subsets of [n] such that the i-th largest element of the subset is congruent to i mod 2.

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