To solve this problem, we need to break it down into steps:

1. First, we need to find out how many students are studying all three subjects. We know that the number of students studying all three subjects is the same as the number of students studying none of the three subjects. We can find this number by subtracting the number of students studying two subjects from the total number of students studying each subject, and then subtracting this from the total number of students.

Total students studying Maths, Physics and English = 33 + 25 + 26 = 84
Total students studying two subjects = 10 (Maths and Physics) + 9 (English and Physics) + 8 (Maths and English) = 27
Total students studying all three or none of the subjects = 63 (total students) - (84 - 27) = 6
Since the number of students studying all three subjects is the same as the number of students studying none of the subjects, there are 6/2 = 3 students studying all three subjects.

2. Next, we need to find out how many students are studying only one subject. We can find this number by subtracting the number of students studying two or three subjects from the total number of students studying each subject.

Total students studying only Maths = 33 (total Maths students) - 10 (Maths and Physics) - 8 (Maths and English) - 3 (all three subjects) = 12
Total students studying only Physics = 25 (total Physics students) - 10 (Maths and Physics) - 9 (English and Physics) - 3 (all three subjects) = 3
Total students studying only English = 26 (total English students) - 9 (English and Physics) - 8 (Maths and English) - 3 (all three subjects) = 6

3. Finally, we add up the number of students studying only one subject:

Total students studying only one subject = 12 (only Maths) + 3 (only Physics) + 6 (only English) = 21

So, the answer is not in the choices given. There seems to be a mistake in the problem or the choices.

Question

To solve this problem, we need to break it down into steps:

1. First, we need to find out how many students are studying all three subjects. We know that the number of students studying all three subjects is the same as the number of students studying none of the three subjects. We can find this number by subtracting the number of students studying two subjects from the total number of students studying each subject, and then subtracting this from the total number of students.

Total students studying Maths, Physics and English = 33 + 25 + 26 = 84
   Total students studying two subjects = 10 (Maths and Physics) + 9 (English and Physics) + 8 (Maths and English) = 27
   Total students studying all three or none of the subjects = 63 (total students) - (84 - 27) = 6
   Since the number of students studying all three subjects is the same as the number of students studying none of the subjects, there are 6/2 = 3 students studying all three subjects.

2. Next, we need to find out how many students are studying only one subject. We can find this number by subtracting the number of students studying two or three subjects from the total number of students studying each subject.

Total students studying only Maths = 33 (total Maths students) - 10 (Maths and Physics) - 8 (Maths and English) - 3 (all three subjects) = 12
   Total students studying only Physics = 25 (total Physics students) - 10 (Maths and Physics) - 9 (English and Physics) - 3 (all three subjects) = 3
   Total students studying only English = 26 (total English students) - 9 (English and Physics) - 8 (Maths and English) - 3 (all three subjects) = 6

3. Finally, we add up the number of students studying only one subject:

Total students studying only one subject = 12 (only Maths) + 3 (only Physics) + 6 (only English) = 21

So, the answer is not in the choices given. There seems to be a mistake in the problem or the choices.

Knowee AI · Accepted Answer

To solve this problem, we need to break it down into steps:

1. First, we need to find out how many students are studying all three subjects. We know that the number of students studying all three subjects is the same as the number of students studying none of the three subjects. We can find this number by subtracting the number of students studying two subjects from the total number of students studying each subject, and then subtracting this from the total number of students.

Total students studying Maths, Physics and English = 33 + 25 + 26 = 84
   Total students studying two subjects = 10 (Maths and Physics) + 9 (English and Physics) + 8 (Maths and English) = 27
   Total students studying all three or none of the subjects = 63 (total students) - (84 - 27) = 6
   Since the number of students studying all three subjects is the same as the number of students studying none of the subjects, there are 6/2 = 3 students studying all three subjects.

2. Next, we need to find out how many students are studying only one subject. We can find this number by subtracting the number of students studying two or three subjects from the total number of students studying each subject.

Total students studying only Maths = 33 (total Maths students) - 10 (Maths and Physics) - 8 (Maths and English) - 3 (all three subjects) = 12
   Total students studying only Physics = 25 (total Physics students) - 10 (Maths and Physics) - 9 (English and Physics) - 3 (all three subjects) = 3
   Total students studying only English = 26 (total English students) - 9 (English and Physics) - 8 (Maths and English) - 3 (all three subjects) = 6

3. Finally, we add up the number of students studying only one subject:

Total students studying only one subject = 12 (only Maths) + 3 (only Physics) + 6 (only English) = 21

So, the answer is not in the choices given. There seems to be a mistake in the problem or the choices.

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