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Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A x B, each
having at least three elements is :
Answers (1)
Let A={a,b,c,d}
B= {x,y}
Total number of elements in A x B = 8
Total number of subsets in A x B = = 256
Number of subsets having 3 or more elements = 256 - ( no. of subsets having (1 element + 2 elements + 0 elements))
= 256 - (1 null set + 8C2 having two elements + 8C1 having one element)
= 256- (1+28+8) = 219
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