Question

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

Answer 1

Step-by-step explanation:

Let F be the set of people in the committee who speak French, and S be the set of people in the committee who speak Spanish.

∴n(F)=50,n(S)=20,n(S∩F)=10

We know 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.

Answer 2

Let F be the set of people in the committee who speak French, and S be the set of people in the committee who speak Spanish.
∴n(F)=50,n(S)=20,n(S∩F)=10

We know 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.

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