Multiple choice

There are 25 persons in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. The number of persons playing neither hockey nor football is

  1. 2

  2. 17

  3. 13

  4. 3

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the principle of inclusion-exclusion: Total = (Hockey) + (Football) - (Both) + (Neither). 25 = 15 + 17 - 10 + Neither. 25 = 22 + Neither. Neither = 3.