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Let A and B be two sets containing four...

Let A and B be two sets containing four and two elements respectively tehn the number of subsets of the set `AxxB` each having at least three elements is

A

275

B

510

C

219

D

256

Text Solution

Verified by Experts

The correct Answer is:
C
`n(A)=4,n(B)=2impliesn(AxxB)=8`
The number of subsets of `AxxB` having at least three elements
`=.^(8)C_(3)+.^(8)C_(4)+.^(8)C_(5)+...+.^(8)C_(8)`
`=2^(8)-(.^(8)C_(0)+.^(8)C_(1)+.^(8)C_(2))`
`=256-(1+8+28)=219`
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