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Let A and B two sets containing 2 and 4 elements respectively . the numberof subsets of AxB having three or more elements is

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Given, `n(A)=2, n(B)=4`
`therefore n(A xx B)=8`
The number of subsets of `A xx B` having 3 or moer elements `=""^(8)C_(3)+""^(8)C_(4)+..........+""^(8)C_(8)`
`=(""^(8)C_(0)+""^(8)C_(1)+""^(8)C_(2)+""^(8)C_(3)..........+""^(8)C_(8))`
`-(""^(8)C_(0)+""^(8)C_(1)+""^(8)C_(2))`|
`therefore =2^(8)-""^(8)C_(0)-""^(8)C_(1)-""^(8)C_(2)`
`=256-1-8-28=219`
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