In a group of 500 people, 350 speak English and 400 speak French. How many speak both languages?

Question 474 of 480

In a group of 500 people, 350 speak English and 400 speak French. How many speak both languages?

Correct Answer: C

Explanation

Assuming everyone speaks at least one language, n(E ∪ F) = 500. n(E ∪ F) = n(E) + n(F) - n(E ∩ F). So 500 = 350 + 400 - n(E ∩ F) → n(E ∩ F) = 750 - 500 = 250.