Question: 5. (i) Use PIE to prove that n (-1)^ (^) (n k) = n! k=0 (ii) Evaluate the following when either 0 k <

5. (i) Use PIE to prove that n (-1)^ (^) (n k)"

5. (i) Use PIE to prove that n (-1)^ (^) (n k)" = n! k=0 (ii) Evaluate the following when either 0 k < n or k = n or k>n (-1 (7) ik i=0

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