Discussion

Explanation:

Every student who studies P also studies. It means there is not one who studies only P.

Let ‘a’ and ‘c’ denote the number of students studying only H and only E respectively while ‘b’ denote the number of students studying H and P (but not E) and ‘d’ denote the number of students studying E and P (but not H).

Total number of students = a + b + c + d + 30 = 74
⇒ a + b + c + d = 44   ...(1)

Number of students studying H = Number of students studying E
∴ a + b = c + d   ...(2)

From (1) and (2) we get,
a + b = c + d = 22

∴ The number of students studying in H = 22 + 30 = 52

Hence, 52.

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