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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.

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.

Grade:12

1 Answers

Ritika Das
105 Points
4 years ago
Let A and B be two sets having m and n numbers of elements respectively.

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

According to the question we get:-

2m-2n= 224.

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

Therefore,m=8 and n=5.

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