Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B, each having at least three elements is :
Question
Solution 1
The set A × B will have 4 * 2 = 8 elements.
The number of subsets of a set with n elements is 2^n. So, the number of subsets of the set A × B is 2^8 = 256.
However, this includes the empty set and all subsets with only one or two elements. We need to subtract these from the total.
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