Question: Prove the identity for n 1 and y 0 by induction on y, i.e. first check that it holds for y = 0

Prove the identity

(n+y -i, (-1) = (n+y-1 i=0 y

for n ≥ 1 and y ≥ 0 by induction on y, i.e. first check that it holds for y = 0 and y = 1, then assume it holds for general y ∈ N.

(n+y -i, (-1) = (n+y-1 i=0 y

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