If $n (A U B) = 15, n (A) = 8$ , $n (B) = 9$ , then $n (A - B) =$ _________?

6

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7

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2

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1

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Solution

The correct option is D $6$
now, as we know,
$n (A \cup B) = n (A) + n (B) - n (A \cap B)$
So, $n (A \cap B) = n (A) + n (B) - n (A \cup B)$
$= 8 + 9 - 15$
$= 2$
So, $n (A - B) = 8 - 2 = 6$
$n (A - B = 6$

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