Use generating functions to prove Pascal's identity: C(n,
Chapter 7, Problem 7.4.42(choose chapter or problem)
Use generating functions to prove Pascal's identity: C(n, r) = C(n - 1, r) + C(n - 1, r - 1) when n and r are positive integers with r < n. [Hint: Use the identity (1 + x) n = (1 + x) n-I + x(1 + xy -I .]
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