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Comprehension: In a class of 25 stude...

Comprehension:
In a class of 25 students of Mathematics and Computer Science, 12 students have taken Mathematics. Out of this, 8 have taken Mathematics but not Computer Science.
What is the number of students who have taken Computer Science but not Mathematics?

A

13

B

4

C

8

D

12

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will analyze the information given and use it to find the number of students who have taken Computer Science but not Mathematics. ### Step 1: Understand the total number of students We know that there are a total of 25 students in the class. ### Step 2: Identify the number of students who have taken Mathematics Out of the 25 students, 12 students have taken Mathematics. ### Step 3: Identify the number of students who have taken only Mathematics Out of the 12 students who have taken Mathematics, 8 students have taken only Mathematics (not Computer Science). ### Step 4: Calculate the number of students who have taken Mathematics and Computer Science To find the number of students who have taken both Mathematics and Computer Science, we subtract the number of students who have taken only Mathematics from the total number of Mathematics students: - Students who have taken both Mathematics and Computer Science = Total Mathematics students - Students who have taken only Mathematics - Students who have taken both = 12 - 8 = 4 ### Step 5: Calculate the number of students who have taken Computer Science Now, we need to find out how many students have taken Computer Science. We know that the total number of students is 25. Therefore, the number of students who have taken Computer Science can be calculated as follows: - Total students - Students who have taken only Mathematics - Students who have taken both Mathematics and Computer Science - Students who have taken Computer Science = 25 - 8 - 4 = 13 ### Step 6: Identify the number of students who have taken only Computer Science To find the number of students who have taken only Computer Science, we subtract the number of students who have taken both subjects from the total number of Computer Science students: - Students who have taken only Computer Science = Total Computer Science students - Students who have taken both - Students who have taken only Computer Science = 13 - 4 = 9 ### Final Answer The number of students who have taken Computer Science but not Mathematics is **9**. ---
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