6.17 Let M and N be integers and suppose F(M. N) is recursively defined by if M=0 or M>N21 F(M, N) = = {FM-1. F(M-1, N) + F(M-1, N-1) otherwise fa) Find (4.2). F(1, 5) and F(2, 4). (b) When is F(M, N) undefined?

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6.17 Let M and N be integers and suppose F(M, N) is recursively defined by
if M = 0 or M>N 21
F(M, N) =
%3D
F(M – 1, N) + F(M – 1, N – 1) otherwise
(a) Find (4, 2), F(1, 5) and F(2, 4). (b) When is F(M, N) undefined?
Transcribed Image Text:6.17 Let M and N be integers and suppose F(M, N) is recursively defined by if M = 0 or M>N 21 F(M, N) = %3D F(M – 1, N) + F(M – 1, N – 1) otherwise (a) Find (4, 2), F(1, 5) and F(2, 4). (b) When is F(M, N) undefined?
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