$\begin{array}{1 1} 45 \\ 50 \\ 90 \\ 100 \end{array}$

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- A relation in any set S is a sub set of $S\times\:S$.
- If no. of elements in $S= n(S)=n$, then $n(S\times\:S)=n^2$

Ans: ( C) 90

Given $n(S)=10 \:\:\Rightarrow\: n(S\times\:S)=100$

But $ A\subset(S\times\:S)$

But A does not have elements $(x,x)$ which are 10 in number.

$\Rightarrow $ no. of elements in A =100-10 =90

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