If 40 students like Mathematics, 30 like Science, and 10 like both subjects, how

If 40 students like Mathematics, 30 like Science, and 10 like both subjects, how many students like only Mathematics?

If 40 students like Mathematics, 30 like Science, and 10 like both subjects, how many students like only Mathematics?

Step 1: Identify the total number of students who like Mathematics, which is 40.
Step 2: Identify the number of students who like both Mathematics and Science, which is 10.
Step 3: To find the number of students who like only Mathematics, subtract the number of students who like both subjects from the total number of students who like Mathematics.
Step 4: Perform the calculation: 40 (students who like Mathematics) - 10 (students who like both) = 30.
Step 5: The result is that 30 students like only Mathematics.

Set Theory – Understanding the relationship between different groups (students who like Mathematics, Science, or both) using set operations.
Venn Diagrams – Visualizing the overlap between two sets to determine the number of students in each category.