Study the given information and answer the questions that follow: A school has 63 students studying Maths, Physics and English. 33 study Maths, 25 Physics and 26 English. 10 study Maths and Physics, 9 study English and Physics while 8 study both Maths and English. Equal numbers study all three subjects as those who learn none of the three. How many students studied only one of the three subjects?Choices:- 35 42 39 2

To solve this problem, we need to break it down into several 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 equal to the number of students studying none of the three subjects. We can find this number by subtracting the total number of students studying at least two subjects from the total number of students studying each subject.

   Total students studying Maths, Physics, and English = 33 + 25 + 26 = 84 Total students studying at least two subjects = 10 (Maths and Physics) + 9 (English and Physics) + 8 (Maths and English) = 27 Therefore, the number of students studying all three subjects = (84 - 27) / 2 = 28.5. But the number of students cannot be a fraction, so there seems to be a mistake in the problem.

2. If we assume that there was a mistake and the number of students studying all three subjects is 28, then the number of students studying none of the three subjects is also 28.

3. Now, we can find the number of students studying only one subject by subtracting the number of students studying at least two subjects and the number of students studying none of the subjects from the total number of students.

   Total students = 63 Students studying at least two subjects = 27 Students studying none of the subjects = 28 Therefore, the number of students studying only one subject = 63 - 27 - 28 = 8.

So, there seems to be a mistake in the problem as the number of students studying all three subjects cannot be a fraction. If we assume that the number of students studying all three subjects is 28, then the number of students studying only one subject is 8, which is not one of the choices given.