Question Number 176836 by Ar Brandon last updated on 27/Sep/22
$$\mathrm{s}\left(\mathrm{B}'−\mathrm{A}'\right)=\mathrm{4} \\ $$$$\mathrm{s}\left(\mathrm{B}−\mathrm{A}\right)=\mathrm{6} \\ $$$$\mathrm{s}\left(\mathrm{A}\right)=\mathrm{9} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{of}\:\mathrm{B}\:\mathrm{with} \\ $$$$\mathrm{at}\:\mathrm{most}\:\mathrm{2}\:\mathrm{elements}\:? \\ $$
Commented by Rasheed.Sindhi last updated on 27/Sep/22
$$\mathrm{s}\left(\mathrm{B}−\mathrm{A}\right)\neq\mathrm{6} \\ $$$$\mathrm{s}\left(\mathrm{A}\right)\neq\mathrm{9} \\ $$$${A}\:{set}\:{with}\:{n}\:{elements}\:{has}\:\mathrm{2}^{{n}} \:{subsets}. \\ $$
Commented by Ar Brandon last updated on 28/Sep/22
s(x) here is number of elements of x, Sir
Commented by Rasheed.Sindhi last updated on 28/Sep/22
$$\mathcal{T}{han}\mathcal{X}\:{to}\:{clarify}\:{sir},{I}\:{thought}\:{it} \\ $$$${number}\:{of}\:{subsets}. \\ $$