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A group of friends consists of 10 people. If 6 like football, 4 like basketball, and 2 like both, how many like neither sport?

Practice Questions

1 question
Q1
A group of friends consists of 10 people. If 6 like football, 4 like basketball, and 2 like both, how many like neither sport?
  1. 2
  2. 4
  3. 6
  4. 8

Questions & Step-by-step Solutions

1 item
Q
Q: A group of friends consists of 10 people. If 6 like football, 4 like basketball, and 2 like both, how many like neither sport?
Solution: Using the inclusion-exclusion principle: Total liking at least one sport = 6 + 4 - 2 = 8. Therefore, those liking neither = 10 - 8 = 2.
Steps: 0

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