Let n and k be integers, 1≤k≤n. Find an integer b and a set A of n integers satisfying the following conditions:
(i) No product of k−1 distinct elements of A is divisible by b.
(ii) Every product of k distinct elements of A is divisible by b.
(iii) For all distinct a,a′ in A, a does not divide a′. number theory proposednumber theory