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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 value of m and n are

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a

6,3

b

7,6

c

5,1

d

8,7

answer is B.

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Detailed Solution

According to the given condition, we have 2m=2n+56⇒2m−2n=56

⇒2n(2m−1−1)=8×7⇒2n=5,2m−n−1=7⇒n=3,m−n=3⇒n=3,m=6

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