In a group of 60 students, 35 play football, 28 play volleyball and 10 play both. How many play neither sport?

Answer and explanation

Correct answer: D. 7 students

  1. Step 1: Use inclusion and exclusion: 35 + 28 - 10 = 53 students play at least one sport.
  2. Step 2: The rest is 60 - 53 = 7.
Answer
7 students.
Why not the others: Adding 35 and 28 without removing the overlap double counts 10 students.

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