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## Comment on

3-Criteria Venn Diagrams## Thank you sir, your

## This question type is a real

This question type is a real time-killer. Fortunately, they are exceedingly rare on the GRE.

## I suppose another easiest

As we are given that: Total number of students, say T = 100.

Similarly, using symbols P,S and M to denote the number of physics, sociology and Music students respectively.

We have,

n(P) = 40, n(S) = 60, n(M) = 80.

Also,

n(PnS) = 7, n(SnM) = 46, n(PnM) = 36 and n(PuSuM) = 100.

now applying the venn diagram rule for 3 sets we get,

n(T) = n(P) + n(S) + n(M) - n(PnS) - n(SnM) - n(MnP) + n(PnSnM) + Complement of n(PuSuM)

Now, plugging in the corresponding values we get,

100 = 40 + 60 + 80 - 7 - 46 - 36 + 6 + (no. of students taking none of the courses)

Solving, we have-

The number of students taking none of the courses to be 3.

## could you give an answer to

I'm getting D, since based on which subjects overlap, the # of students taking french could be above or below 14.

## You'll find you get 14

You'll find you get 14 students taking French no matter how you arrange the overlapping students.

Here's my full solution: https://gre.myprepclub.com/forum/in-a-class-of-25-students-each-student-...