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Q.

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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a

7,6

b

6,3

c

5,1

d

8,7

answer is B.

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Detailed Solution

since,2m−2n=56=8×7=23×7 2n(2m−n−1)=23×7⇒ n=3 and 2m−n=8=23⇒n=3 and m−n=3⇒ n=3 and m−3=3 ⇒n=3 and m=6
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