Sets-Relations-And-Functions Question 150

Question: Out of 32 persons, 30 invest in national savings certificates and 17 invest in shares. What is the number of persons who invest in both?

Options:

A) 13

B) 15

C) 17

D) 19

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b]Let N = National savings certificates S = Shares Total no. of persons = 32 No. of persons who invest in national Savings certificates = 30 No. of persons who invest in shares = 17 Therefore $ n(N\cup S)=32,n(N)=30,n(S)=17 $
    We know that, $ n(N\cup S)=n(N)+n(S)-n(N\cap S) $

$ \Rightarrow 32=30+17-n(N\cup S) $

$ \Rightarrow n(N\cap S)=47-32=15 $