two finite sets hame m and n elements total no. of subsets of first is 224 more than the total no. of subset of second find m and n.

So,number of subsets of A =2^m and number of subsets of B =2ⁿ.

According to the question we get:-

2^m-2ⁿ= 224.

If you take 2^m=256 and 2ⁿ=32 then the above relation is satisfied, as 256-32=224.

Therefore,m=8 and n=5.