In a class of 55 students, the number of students studying different subjects are, 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is
Question
In a class of 55 students, the number of students studying different subjects are, 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is
Solution
To find the number of students who have taken exactly one subject, we need to subtract the number of students who have taken more than one subject from the total number of students.
Let's calculate the number of students who have taken more than one subject first. From the given information, we know that there are 12 students studying both Mathematics and Physics, 9 students studying both Mathematics and Chemistry, and 7 students studying both Physics and Chemistry. Additionally, there are 4 students studying all three subjects.
To find the total number of students studying more than one subject, we add these numbers together: 12 + 9 + 7 + 4 = 32.
Now, we can calculate the number of students who have taken exactly one subject by subtracting the number of students studying more than one subject from the total number of students: 55 - 32 = 23.
Therefore, there are 23 students who have taken exactly one subject.
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