In a group of 200 people, 120 like football, 80 like basketball, and 40 like bot

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Question: In a group of 200 people, 120 like football, 80 like basketball, and 40 like both. How many people like only football?

Options:

Correct Answer: 80

Solution:

The number of people who like only football is 120 - 40 = 80.

In a group of 200 people, 120 like football, 80 like basketball, and 40 like both. How many people like only football?

In a group of 200 people, 120 like football, 80 like basketball, and 40 like both. How many people like only football?

Step 1: Identify the total number of people who like football, which is 120.
Step 2: Identify the number of people who like both football and basketball, which is 40.
Step 3: To find the number of people who like only football, subtract the number of people who like both from the total number of people who like football.
Step 4: Perform the calculation: 120 (people who like football) - 40 (people who like both) = 80.
Step 5: The result is that 80 people like only football.

Set Theory – Understanding the relationships between different groups (sets) and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between groups and to determine the number of individuals in each category.