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Let A and B be too sets containing four and two elements respectively then the number of subsets of set `AxxB` having atleast 3 elements isA. 219B. 256C. 275D. 510 |
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Answer» Correct Answer - A Given, `n(A) = 4 , n(B)=2 rArr n(A xx B) =8` Total number of subsets of set `(A xx B)= 2^(8)` Number of subsets of set `A xx B ` having no element `(i.e. Phi) = 1.` Number of subsets of set `A xx B` having one element `= "" ^(8)C_(1)` Number of subsets of set ` A xx B ` having two elements `= "" ^(8)C_(2)` ` therefore ` Number of subsets having alteast three elements `=2^(8)-(1+"" ^(8)C_(1)+"" ^(8)C_(2))=2^(8)-1-8-28` `=2^(8)-37=256-37=219` |
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