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Solve for X, if IX S 1. 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. Find the value of m and n. respectively. can be the (f A and B be two sets containing 3 and 6 elements What

Answer» Let A sn E are the sets
So, the number of subsets of A =`2^m`
number of subsets of B=`2^n`
`2^m-2^n=56`
`2^n(2^m/2^n-1)=56`
`2^n(2^(m-n)-1)=8*7`
`2^n(2^(m-n)-1)=2^3(2^3-1)`
comparing on both sides
n=3
m-n=3`
`m=3+3=6`.


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