Question: Homework: Set up a generating function /(x) for the number a, of r-combinations without repetition of a set with n elements. Solution: Each of the

Homework: Set up a generating function /(x) for the number a, of r-combinations without repetition of a set with n elements. Solution: Each of the n elements in the set contributes a factor 1 + x to the generating function f(x) because the elements is either not chosen (1) or chosen (x). Hence, Ax) = (1 +x)" = a, - coefficient of x

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