Sets-Relations-And-Functions Question 156
Question: 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. Then:
Options:
A) $ m=3,n=6 $
B) $ m=6,n=3 $
C) $ m=5,n=6 $
D) None of these
Correct Answer: B $ \Rightarrow 2^{m}-2^{n}=64-8=2^{6}-2^{3} $
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Answer:
Solution:
$ 2^{m}=2^{n}+56 $
BETA
