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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
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Correct option is C
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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