In a set of 150 people, 90 like reading fiction, 60 like reading non-fiction, an

₹0.0

Question: In a set of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many people like only non-fiction?

Options:

Correct Answer: 30

Solution:

The number of people who like only non-fiction is |Non-fiction| - |Both| = 60 - 30 = 30.

In a set of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many people like only non-fiction?

In a set of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many people like only non-fiction?

Step 1: Identify the total number of people who like non-fiction, which is 60.
Step 2: Identify the number of people who like both fiction and non-fiction, which is 30.
Step 3: To find the number of people who like only non-fiction, subtract the number of people who like both from the total number of people who like non-fiction.
Step 4: Perform the calculation: 60 (like non-fiction) - 30 (like both) = 30.
Step 5: The result is that 30 people like only non-fiction.

Set Theory – Understanding how to calculate the number of people in overlapping sets using the principle of inclusion-exclusion.
Venn Diagrams – Visualizing relationships between different groups to better understand overlaps and exclusive groups.