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if two finite sets have m and n elements and the total number of subsets of the first set is 12 more than the total no of subsets of the second , then find m and n
Asked by gmafia618 | 05 Apr, 2024, 06:48: PM
Expert Answer
If a set A has m elements, then number of subsets = 2m .
If a set B has n elements, then number of subsets = 2n .
Difference of total number of sets between A and B = 2m - 2n = 12
we have
21 = 2
22 = 4
23 = 8
24 = 16
Hence , 2m - 2n = 24 - 22 = 12
m = 4 and n = 2
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