Question

out of 100 persons in a group ,72speak english and 43speak french .each one out of 100 persons speak at least one launguage .then how many speak only english ?how many speak only english?how many only french .how many speak both english and french both.plzzz tell mi fast buddys …...

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(E)=n(E) -n(EnF)

      =72- 15= 57

And

n(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....