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Use induction and Pascal's Identity to prove that the following algorithm computes C(n, r) for 0

Use induction and Pascal's Identity to prove that the following algorithm computes C(n, r) for 0 <= r <= n.

procedure Comb(n, r: nonnegative integers with r <= n)

if r = 0 or r = n

return 1

else

return Comb(n - 1, r - 1) Comb(n - 1,r)

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