Question

please give me answer​

Answer 1

Total number of subsets of a set having x elements is given by:

${2}^{x}$

Let m>n then ATQ

${2}^{m} - {2}^{n} = 56$

And since m>n

${2}^{n} ( {2}^{m - n} - 1) = 56$

56 can be factorized into:

$56 = {2}^{3} \times 7$

8 and 7 differ by 1 so

${2}^{n} and \: ({2}^{m - n} - 1) \: differ \: by \: 1$

So m=6 and n=3