Sets Relations And Functions Question 113

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

Options:

A) 15

B) 20

C) 11

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c]From the given condition $ n(M\cup F)=15 $ , $ n(F)=8,n(M\cap F)=4 $ So, $ n(M\cup F)=n(M)+n(F)-n(M\cap F) $ $ n(M)=n(M\cup F)+n(M\cap F)-n(F) $ Hence $ n(M)=15+4-8=11 $