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Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economic, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is

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answer is B.

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Detailed Solution

$n (A \cup B \cup C) = 16 + 22 + 26 - 5 - 14 - K + 2$
$\Rightarrow 40 = 47 - K \Rightarrow K = 7$
$\Rightarrow$ No of stunts who study English and Mathematics but not Economics = 7

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