A group of friends consists of 5 people who play football, 4 who play basketball

A group of friends consists of 5 people who play football, 4 who play basketball, and 2 who play both. How many friends play only one sport?

A group of friends consists of 5 people who play football, 4 who play basketball, and 2 who play both. How many friends play only one sport?

Step 1: Identify the total number of friends who play football, which is 5.
Step 2: Identify the total number of friends who play basketball, which is 4.
Step 3: Identify the number of friends who play both sports, which is 2.
Step 4: Calculate the number of friends who play only football by subtracting those who play both from the total football players: 5 - 2 = 3.
Step 5: Calculate the number of friends who play only basketball by subtracting those who play both from the total basketball players: 4 - 2 = 2.
Step 6: Add the number of friends who play only football and only basketball: 3 + 2 = 5.

Set Theory – Understanding the relationships between different groups, specifically how to calculate the number of unique members in overlapping sets.
Inclusion-Exclusion Principle – Applying the principle to avoid double counting individuals who belong to multiple categories.