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Consider a set P consisting of 5 element...

Consider a set P consisting of 5 elements. A sub set 'A' of P is chosen thereafter set 'P' is reconstructed and finally another sub set 'B' is chosen from P. The number of ways of choosing 'A' and 'B' such that `(AcupB)neP` 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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