Question

$\text{Let |L|: denotes the number of strings present in L.}$
$\text{Let R and S be two languages,}$
$\text{such that}|R\cup S|=96and|R\cap S|=32.$
$Then|(R-S)\cup (S-R)|\text{is equal to\_\_\_\_\_\_\_\_.}$

• A. 64

Answer 1

The correct option is A 64
$\begin{array}{cc}\left|\right(R-S)\cup (S-R\left)\right|& =|R\cup S|-|R\cap S|\\ & =96-32=64\end{array}$