In a class students took Physics, students took Chemistry and students took Mathematics of those took both Chemistry and Mathematics, took both Physics and Chemistry and took both Physics and Mathematics. If students are offered all the three subjects, find the total number of students.
Find the total number of students.
Assume that, denotes Physics, denotes Chemistry, denotes Mathematics and denotes the number of students.
So, denotes the number of students who took both Chemistry and Mathematics.
denotes the number of students who took both Physics and Chemistry.
denotes the number of students who took both Physics and Mathematics.
denotes the number of students who took all the three subjects.
And denotes the total number of students in the class.
So, the given data can be represented as follows:
Since, the formula of .
The total number of students can be given as:
Therefore, the total number of students is .