Question

two finite sets n and m elements. The total no. of subset of the first set is 56 more than the total no. of subsets of the second set. find value of m and not .

Answer 1

Then it means
${2}^{m } - {2}^{n} = 56$
=> let's take n=3 so we get
${2}^{m} - 8 = 56 = > {2}^{m} = 56 + 8 = 64$
=>
${2}^{m} = 64 = {2}^{6} = > m = 6$
hence m=6 and n=3 .Hope it helps you...Mark me as Brainliest.