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Let S={1,2,3,…..n} and A = {a,b)|1lea,bl...

Let `S={1,2,3,…..n}` and A = `{a,b)|1lea,blen}=SxxS`. A subset B of A is said to be a good subset if (x, x) `in` B for every `x in S`. Then number of good subsets of A is -

A

`1`

B

`2^(n)`

C

`2^(n(n-1))`

D

`2^(n^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Good subset is total number of symmetric subset
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