Let A and B two sets containing four and two elements respectively , The number of subsets of

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Let A and B two sets containing four and two elements respectively , The number of subsets of the set A B , each having at least three elements is :
(a) 270
(b) 239
(c) 219
(d) 256
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can anyone tell that how to calculate 8 c1 and 8 c 2 .

Sukashu.