A and B are two that `n(A) gt n(B)` . P(A) and P(B) are power sets of – InterviewSolution

InterviewSolution

1.	A and B are two that `n(A) gt n(B)` . P(A) and P(B) are power sets of A and B respectively and the difference between cardinal numbers of `P(A)` and `P(B)` is a three digit prime number. The number of elements in set A is `"______"`.A. 6B. 7C. Cannot be determinedD. None of these
Answer» Correct Answer - B (i) `2^(n(A)) - 2^(n(B))` = Prime number. Also, `2^(n(B))` must be odd. (ii) If `2^(n(A)) - 2^(n(B))` is prime, then `n(B)` is always zero. (iii) Find `n(A)` by trial and error method.

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