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Q.

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 element is

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a

219

b

256

c

275

d

510

answer is A.

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Detailed Solution

n(A) = 4n(B) = 2n(AxB) = 8So atleast 3 =total - none - one -two digits=28-1-8C1-8C2 = 28 -1-8-28 = 28 -37= 256 - 37 = 219.
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