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Two finite sets have m and n elements If A has 56 more subsets than B then what are the values of m and n?
Wiki User
∙ 12y ago
It's clear that the first set has 2m subsets and second one has 2n subests.
so we have to solve 2m - 2n = 56 (m,n are positive integers)
Its also clear that m>n
let m = k+n
so 2k+n- 2n= 56
2n(2k- 1)= 23*7
clearly 2k-1 is odd
so 2n= 23, and n = 3
and 2k-1= 7 so k =3
so m = 3+3 = 6 and n = 3
Wiki User
∙ 12y ago
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