In a class, 12 students play cricket, 10 play football, and 5 play both. How man

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Question: In a class, 12 students play cricket, 10 play football, and 5 play both. How many students play only cricket?

Options:

Correct Answer: 7

Solution:

Only cricket players = Total cricket players - Both = 12 - 5 = 7.

In a class, 12 students play cricket, 10 play football, and 5 play both. How many students play only cricket?

In a class, 12 students play cricket, 10 play football, and 5 play both. How many students play only cricket?

Step 1: Identify the total number of students who play cricket. This is given as 12.
Step 2: Identify the number of students who play both cricket and football. This is given as 5.
Step 3: To find the number of students who play only cricket, subtract the number of students who play both from the total cricket players.
Step 4: Perform the subtraction: 12 (total cricket players) - 5 (students who play both) = 7.
Step 5: The result, 7, is the number of students who play only cricket.

Set Theory – Understanding the relationship between different groups of students who play different sports.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students who play cricket and football.