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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
answered-by-expert 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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