Question: Suppose (X, A) is a set system with |X| = n and |A| = k for every A A. Suppose also that every x X

Suppose (X, A) is a set system with |X| = n and |A| = k for every A A. Suppose also that every x X belongs to exactly r of the sets in A. (a) Find the size of A. (b) Find positive integer values of n, k, r with n k for which such a set system cannot exist

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