Question

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speaks at least one of these two languages?

Answer 1

Let F – French; S – Spanish be the sets.

Given; n(F) = 50; n(S) = 20;w(F ∩ S) = 10

n (speaks at least one of these two languages)

= n(F ∪ S) = n(F) + n(S) – n(F ∩ S)

= 50 + 20 – 10 = 60.