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)
3
5
2
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.
