Question

In a class of 120 students 41 liked swimming,47 liked tennis and 42 liked football.14 students liked both swimming and tennis,15 liked swimming and football and 19 liked tennis and football,while 8 students liked all three sports.find the number of students that liked at least one sport

Answer 1

114 students liked at least one sport

Explanation:

Total number of students = 120

Number of students who liked at least one sport =

(Number of students who liked swimming) +

(Number of students who liked tennis) +

(Number of students who liked football) -

(Number of students who liked swimming and tennis) -

(Number of students who liked swimming and football) -

(Number of students who liked tennis and football) +

(2 * Number of students who liked all three sports)

= 41 + 47 + 42 - 14 - 15 - 19 + (2 * 8)

= 114

Therefore, therefore 114 students liked at least one sport.