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A is a set containing n elements. A subs...

A is a set containing n elements. A subset `P_1` of A is chosen. The set A is reconstructed by replacing the elements P Next, a of subset `P_2` of A is chosen and again the set is reconstructed by replacing the elements of `P_2`, In this way, m subsets `P_1, P_2....,P_m` of A are chosen. The number of ways of choosing `P_1,P_2,P_3,P_4...P_m`

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