If two sets A and B are having 99 elemen...

If two sets A and B are having 99 elements in common, the number of elements common to each of the sets `A xx B` and `B xx A` are `121 lambda^(2)`, the value of `lambda` is

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The correct Answer is:

9

`n((AxxB)nn(BxxA))=n((AnnB)xx(BnnA))`
`=n(AnnB).n(BnnA)`
`=n(AnnB).n(AnnB)`
`=99xx99=121xx9^(2)`
`therefore lambda = 9`

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