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Q.

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The respective values of m and n are

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a

7,6

b

6,3

c

6,4

d

7,4

answer is C.

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Detailed Solution

Since 2m−2n=48=16×3=24×3 ⇒ 2n2m−n−1=24×3 2n=24   , 2m-n-1=3 ⇒ n=4 and 2m−n=4=22⇒ m−n=2⇒ m−4=2⇒ m=6⇒ m=6,n=4
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