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

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen, the number of ways of choosing so that `(P cup Q)` is a proper subset of A, is

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The correct Answer is:
781
Total no. of ways by which subsets A and B can be formed `=4^(5)`
Total no. of ways by which subsets A and B can be formed such that `AcupB=P` is `3^(5)`
`therefore` Required answer is `4^(5)-3^(5)`
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 22 JEE - 2020-MATHEMATICS
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