JEE Main · MathematicsMedium

$In a group of 50 students, 20 play cricket, 15 play football, and 10 play both. How many students play neither cricket nor football?$

A. $25$
B. $30$
C. $20$
D. $15$

Show correct answer & step-by-step solution

Correct answer: A — $25$

Solution

n (C \cup F) = n (C) + n (F) - n (C \cap F) = 20 + 15 - 10 = 25 . Students playing neither = $50 - 25 = 25$.

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