Identity using a combinatorial
Let n and k be integers with n ≥ k + 2 and k ≥ 2. Prove the following identity using a combinatorial proof: (n choose k) = ((n - 2) choose k) + 2 . ((n - 2) choose(k - 1)) + ((n - 2) choose (k - 2)).
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Identity using a combinatorial proof
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