Question Number 85091 by pew_247 last updated on 18/Mar/20
Commented by john santu last updated on 19/Mar/20
![(1) n(S) = C_(13) ^(52) ×C_(13) ^(39) ×C_(13) ^(26) ×1 n(A) = C_(13) ^(48) × C_(11) ^(37) × [ 2×C_(11) ^(24) + C_(12) ^(25) ] p(A) (( n(A))/(n(S)))](https://www.tinkutara.com/question/Q85101.png)
$$\left(\mathrm{1}\right)\:\mathrm{n}\left(\mathrm{S}\right)\:=\:\mathrm{C}_{\mathrm{13}} ^{\mathrm{52}} ×\mathrm{C}_{\mathrm{13}} ^{\mathrm{39}} \:×\mathrm{C}_{\mathrm{13}} ^{\mathrm{26}} ×\mathrm{1} \\ $$$$\mathrm{n}\left(\mathrm{A}\right)\:=\:\mathrm{C}_{\mathrm{13}} ^{\mathrm{48}} \:×\:\mathrm{C}_{\mathrm{11}} ^{\mathrm{37}} \:×\:\left[\:\mathrm{2}×\mathrm{C}_{\mathrm{11}} ^{\mathrm{24}} +\:\mathrm{C}_{\mathrm{12}} ^{\mathrm{25}} \:\right]\: \\ $$$$\mathrm{p}\left(\mathrm{A}\right)\:\frac{\:\mathrm{n}\left(\mathrm{A}\right)}{\mathrm{n}\left(\mathrm{S}\right)} \\ $$