Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:	Choose the correct choice from the following options.
A) 7, 6  B) 5, 1  C) 6, 3  D) 8, 7  E) None of these
Explanation :   Let A and B be such sets, i.e., n (A) = m, n (B) = n   So, n (P(A)) = 2m and n (P(B)) = 2n   Thus n (P(A)) – n (P(B)) = 56, i.e. 2m – 2n = 56   ⇒ 2n (2m-n - 1) = 23 x 7   ⇒ n = 3 , 2m-n – 1 = 7   ⇒ m = 6   Answer : 6, 3
<result>C</result>
Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are: