Question

Out of 100 persons in a group, 72 persons speak english and 43 persons speak french. Each one out of 100 persons speak atleast one language. Then how many speak only english?How many speak only french?How many of them speak english and french both? *
3 points
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Answer 1

Answer:

n(U)=100

n(E)= 72

n(F)= 43

Soln:

n(U) = n(E) U n(F)

n(U) = n(E) + n(F)- n(EnF)

100 = 72 + 43 - n(EnF)

n(EnF)= 115- 100

          = 15

Now,

n${o}$(E)=n(E) -n(EnF)

       =72- 15= 57

And

n${o}$(F) = n(F)- n(EnF)

        = 43-15= 28

Therefore, 57 people speak only english, 28 speak only french and 15 speak both.

Hope it helps you....