Ina committee, 50 people speak French, 20 speak Spanish and 10 speakboth Spanish and French How many speak at - Maths - Sets

Question

Ina committee, 50 people speak French, 20 speak Spanish
and 10 speakboth Spanish and French How many speak at least one of
these twolanguages?

Global Expert · Accepted Answer

LetF be the set of people in the committee who speak French,
and
Sbe the set of people in the committee who speak Spanish
∴ n(F)= 50,
n(S)= 20,
n(S∩F) =
10
Weknow that:
n(S∪F)
= n(S)+
n(F)–
n(S∩F)
=20 + 50 – 10
=70 – 10 = 60
Thus,60 people in the committee speak at least one of the two
languages

Ina committee, 50 people speak French, 20 speak Spanish and 10 speakboth Spanish and French. How many speak at least one of these twolanguages?