Question

Out of 40 persons in a class, 10 play football, 15 play cricket, 5 play both football and cricket. How many of them plays neither football nor cricket?

• A. undefined
• B. undefined
• C. undefined
• D. undefined

Answer 1

N(F)=People playing football. =10
N(C) =Peple playing cricket = 15
$N(F\cup C)$ = People playing either football or cricket
$N(F\cap C)$ People playing both =5
$N(F\cup C)=N\left(F\right)+N\left(C\right)-N(F\cap C)$
=10+15-5
=20
People playing reither football nor cricket = 40-20=20