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If $A equals open curly brackets 13 comma 57 comma 911131517 close curly brackets comma B equals left curly bracket 24 horizontal ellipsis comma 18 right curly bracket$ and $N$ is the universal set, then $A ´ union left parenthesis left parenthesis A union B right parenthesis intersection B ´ right parenthesis$ is

$A$
$N$
$B$
none of these

The correct answer is: $N$

We have,
$open parentheses A union B close parentheses intersection B to the power of ´ end exponent equals A$
$therefore open parentheses open parentheses A union B close parentheses intersection B to the power of ´ end exponent close parentheses union A to the power of ´ end exponent equals A union A to the power of ´ end exponent equals N$

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