A group of friends consists of 5 who like football, 4 who like basketball, and 2

Practice Questions

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

Questions & Step-by-Step Solutions

A group of friends consists of 5 who like football, 4 who like basketball, and 2 who like both. How many friends like only football?
  • Step 1: Identify the total number of friends who like football. This number is given as 5.
  • Step 2: Identify the number of friends who like both football and basketball. This number 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 calculation: 5 (total football fans) - 2 (both football and basketball fans) = 3.
  • Step 5: The result is that 3 friends like only football.
  • Set Theory – Understanding how to calculate the number of elements in overlapping sets.
  • Basic Arithmetic – Performing simple subtraction to find the number of friends who like only one sport.
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