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Question

From a survey of $100$ college students, a marketing research company found that $75$ students owned stereos, $45$ owned cars, and $35$ owned cars and stereos. How many students did not own neither a car or a stereo?

A

85

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B

15

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C

25

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D

None of these

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Solution

The correct option is B $15$
$n (A U B) = n (A) + n (B) - n (A \cap B)$
$= 75 + 45 - 35$
$= 85$
number of students owing car or stereos $= 85$
number of students neither car nor stereo $= 100 - 85 = 15$

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