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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects.
The number of students who had taken only two subjects is:
  • a)
    7
  • b)
    8
  • c)
    9
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a survey of 25 students, it was found that 15 had taken Mathematics...

Only two subjects = 6 + 2 + 1 = 9
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Most Upvoted Answer
In a survey of 25 students, it was found that 15 had taken Mathematics...
Number of students who took each subject:
- Mathematics: 15
- Physics: 12
- Chemistry: 11

Number of students who took combinations of subjects:
- Mathematics and Chemistry: 5
- Mathematics and Physics: 9
- Physics and Chemistry: 4
- All three subjects: 3

To find the number of students who took only two subjects, we need to subtract the number of students who took all three subjects from the total number of students who took two or more subjects.

Number of students who took two or more subjects = (Mathematics and Chemistry) + (Mathematics and Physics) + (Physics and Chemistry) - (All three subjects)

Calculating this:
= 5 + 9 + 4 - 3
= 15

Therefore, the number of students who took only two subjects is 15.

Hence, the correct answer is option C) 9.
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