a survey showed that 50 students were surveyed. 42 liked football, 15 liked tennis, 12 liked both football and tennis. How many students did not like either football or tennis?42 take away 12 = 30

Question

15 take away 12 = 3
therefore 33 students like either one or both sports.
Therefore 17 students do not like any of the sports.

Answer 1

N(T or F) = N(F) + N(T) - N(T and T)
= 42+15-12
= 45

Number who liked neither football or tennis
=50-45
= 15