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Q.
The number of elements in set $A$ is
Sets
Solution:
(i) $2^{ n (A)}-2^{m(B)}=$ prime number. Also, $2^{\text {m}(B)}$ must be odd.
(ii) If $2^{w(A)}-2^{w(B)}$ is prime, then $n(B)$ is always zero.
(iii) Find $n(A)$ by trial and error method.