We can recursively define the number of combinations of m things out of n, denote C(n, m), for n ? 1

We can recursively define the number of combinations of m things out of n, denote C(n, m), for n ? 1 and 0 ? m ? n, by C(n,m) = 1 if m = 0 or m=n C(n, m) = C(n-1, m) + C(n-1, m-1) if 0 < m < n a. Write a recursive function to compute C(n, m). b. Write a complete program that reads two integers N and M and invokes the function to compute C(N, M) and prints the result out.

We can recursively define the number of combinations of m things out of n, denote C(n, m), for n ? 1

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