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

`A` is a set containing `n` elements. A subset `P_1` is chosen and `A` is reconstructed by replacing the elements of `P_1`. The same process is repeated for subsets `P_1,P_2,....,P_m` with `m>1`. The number of ways of choosing `P_1,P_2,....,P_m` so that `P_1 cup P_2 cup....cup P_m=A` is (a)`(2^m-1)^(mn)` (b)`(2^n-1)^m` (c)`(m+n)C_m` (d) none of these

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