Question

In a class of 35 students, 24 like to play cricket,5 like to play both cricket and football find how many students like to play football

Answer 1

let
number of players playing cricket , n(C) = 24
number of players playing football, n(F) = ?
number of players playing cricket and football, n(C ∩ F) =5
and also n( C U F) = 35

we know that ;
n( C U F) = n(C)+ n(F) -n(C ∩ F)
35 = 24 + n(F) - 5
ie
n(F) = 35-24+5
= 16