Answer:
100 Students
Explanation:
First write down all the data (this makes it easier )
Total number of students = ?
Students who play football = 65
Students who play hockey = 45
Students who play cricket = 42
Students who play football and hockey = 20
Students who play football and cricket = 25
Students who play hockey and cricket = 15
Students who play all three games = 8
Now let's start working
Students who play football and hockey = 20 - 8 = 12
Students who play football and cricket = 25 - 8 = 17
Students who play hockey and cricket = 15 - 8 = 7
Students who only play football = 65 - ( 17 + 8 + 12) = 28
Students who only play cricket = 42 - (17 + 7 + 8) = 10
Students who only play hockey = 45 - (12 + 8 + 7) = 18
Students who play all three games = 8
Now just add all these values up
TOTAL NUMBER OF STUDENTS = 12 + 17 + 7 + 28 + 10 + 18 + 8
= 100 students