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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 is |
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Answer» Number of elements in set `A = 4` Number of elements in set `B = 2` Maximum elements that `AxxB` can have ` = 4xx2 = 8` So, maximum number of subsets that `AxxB` can have `2^8`. But, from these subsets, we have to find subsets that contains at least `3` elements. So, we have to remove sets that have `0`, `1` and `2` elements. So, required number of subsets ` = 2^8 - C(8,0)-C(8,1)-C(8,2)= 2^8 -1 - 8 - 28 = 2^8-37` So, required number of subsets are `2^8 - 37`. |
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