How many of these students are taking physics?

n (P) = 45

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n (P) = 40

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n (P) = 50

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n (P) = 55

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Solution

The correct option is D $n (P) = 45$
$n (P \cap G \cap E) = 16$
$n (P \cap G) = 24$
$n (P \cap E) = 30$
$n (G \cap E) = 22$
Only $7$ students are taking Physics.
$∴$ $7 = n (P) - [n (P \cap G) + n (P \cap E)] + n (P \cap G \cap E)$

$\Rightarrow$ $7 = n (P) - [24 + 30] + 16$

$\Rightarrow$ $7 = n (P) - 54 + 16$

$\Rightarrow$ $n (P) = 7 + 54 - 16$

$∴$ $n (P) = 45$

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