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Let S = {1,2,3,.............. n} and A=...

Let `S = {1,2,3,.............. n}` and `A={(a ,b)"|"1lt=a ,blt=n}=SxxS`. A subset `B` of `A` is such that `(x ,x) in B` for every `x in Sdot` Then find the number of subsets `Bdot`

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