In a class of students, the number of students studying different subjects is in Mathematics, in physics, in chemistry, in Mathematics and Physics, in Mathematics and chemistry, in physics and chemistry and in all the three subjects.
The number of students who have taken exactly one the subjects is
None of these
Explanation for the correct option:
Step 1: Find the total number of students:
Let the total number of students be . Then
Let, students who are studying mathematics, students who are studying chemistry, students who are studying Physics.
Step 2: Find the number of students studying only mathematics:
Now, the number of students studying only Mathematics is,
Substituting the values, we get
Step 3: Find the number of students studying only Physics:
Now, the number of students studying only Physics is,
Step 4: Find the number of students studying only Chemistry:
Now, the number of students studying only Chemistry is,
Step 5: Finding the number of students taking only one subject:
Therefore the number of people who have taken exactly one of the three subjects
Hence, the correct option is D.