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Question

In a B School, there are 15 teachers who teach marketing or finance. Of these, 8 teach finance and 4 teach both marketing and finance. How many teach marketing but not finance?


A

15

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B

20

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C

11

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D

None of these.

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Solution

The correct option is C

11


Explanation of the correct option:

Finding the number of teachers:

Let us consider M as group of teachers who are teaching marketing, and F as group of teachers who are teaching finance.

No. of teachers who are teaching marketing or finance =nMF

=15.

No. of teachers who are teaching marketing and finance both =nMF

=4.

No. of teachers who are teaching finance =n(F)

=8.

Now,

n(AB)=n(A)+n(B)-n(AB)

Applying the above formula, we get,

n(MF)=n(M)+n(F)-n(MF)

15=n(M)+8-4

n(M)=11.

Hence the correct option is C.


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