Question: Prove that if n and k are integers with 1 ¤ k ¤ n, then a) Using a combinatorial proof. b) Using an algebraic proof

Prove that if n and k are integers with 1 ‰¤ k ‰¤ n, then

k (C) = n).

a) Using a combinatorial proof.
b) Using an algebraic proof based on the formula for (nr) given in Theorem 2 in Section 6.3.

k (C) = n).

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