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A group of friends consists of 5 people who like football, 3 who like basketball

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Question: A group of friends consists of 5 people who like football, 3 who like basketball, and 2 who like both. How many like only football? (2023)

Options:

  1. 3
  2. 5
  3. 2
  4. 0

Correct Answer: 3

Exam Year: 2023

Solution: 

To find the number of friends who like only football, we subtract those who like both from those who like football: 5 - 2 = 3.

A group of friends consists of 5 people who like football, 3 who like basketball

Practice Questions

Q1
A group of friends consists of 5 people who like football, 3 who like basketball, and 2 who like both. How many like only football? (2023)
  1. 3
  2. 5
  3. 2
  4. 0

Questions & Step-by-Step Solutions

A group of friends consists of 5 people who like football, 3 who like basketball, and 2 who like both. How many like only football? (2023)
  • Step 1: Identify the total number of friends who like football. This is given as 5.
  • Step 2: Identify the number of friends who like both football and basketball. This is given as 2.
  • Step 3: To find the number of friends who like only football, subtract the number of friends who like both from the total number of friends who like football.
  • Step 4: Perform the subtraction: 5 (friends who like football) - 2 (friends who like both) = 3.
  • Step 5: The result is 3, which means 3 friends like only football.
  • Set Theory – Understanding how to calculate the number of elements in overlapping sets.
  • Venn Diagrams – Visualizing relationships between different groups to solve problems involving intersections.
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