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

Explanation

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

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