Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are

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7,6

6,3

5,1

8,7

answer is B.

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Detailed Solution

Since, 2m−2n=56=8×7=23×7⇒2n2m−n−1=23×7,∴n=3 and 2m−n=8=23⇒m−n=3⇒m−3=3⇒m=6∴m=6,n=3.

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