Multiple choice

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then 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 inclusion-exclusion: Total = 25, Hockey = 15, Football = 17, Both = 10. Number playing at least one sport = H + F - Both = 15 + 17 - 10 = 22. Therefore, neither sport = Total - (H or F or both) = 25 - 22 = 3. This represents people who don't play either sport.

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