Solveeit Logo

Question

Mathematics Question on Sets

In a committee 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is

A

60

B

40

C

38

D

58

Answer

60

Explanation

Solution

n(SF)=n(S)+n(F)n(SF)n\left(S \cup F\right) = n \left(S\right) + n\left(F\right) -n\left(S \cap F\right) n(SF)=20+5010=60 \Rightarrow n\left(S\cup F\right) = 20 + 50-10=60