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If A and B two sets containing 2 elements and 4 elements, respectively. Then, the number of subsets of `A xx B` having 3 or more elements, isA. 220B. 219C. 211D. 256 |
Answer» Correct Answer - B `because A xx B` has 8 elements. `therefore` Number of subsets = `2^(8) = 256` Number of subsets with zero element = `.^(8)C_(0) = 1` Number of subsets with one element = `.^(8)C_(1) = 8` Number of subsets with one elements = `.^(8)C_(2) = 28` Hence, Number of subsets of `AxxB` having 3 or more elements `=256-(1+8+28)=256-37=219` |
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