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Q.

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,

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a

4,7

b

7,4

c

4,4

d

7,7

answer is B.

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Detailed Solution

According to the question, we have2m−2n=112⇒2n2m−n−1=24×7⇒2n=24 and 2m−n−1=7⇒n=4 and 2m−n=8⇒n=4 and 2m−n=23⇒n=4 and m−n=3⇒n=4 and m−4=3⇒n=4 and m=7

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