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Two finite sets A and 8 have m and n ele...

Two finite sets A and 8 have m and n element respectively. If the total number of subsets of A is 112more than the total number of subsets of B, then the value of m is

A

7

B

9

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
According to the given condition,
`2^(m) = 112 + 2^(n) rArr 2^(m) - 2n^(2) = 112`
`rArr m = 7, n = 4`
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