In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
Let A = set of people who can speak Hindi.
Let B = set of people who can speak English.
Number of people = 400 ...(i)
Number of people who can speak hindi = 250 ....(ii)
Number of people who can speak English = 200 ...(iii)
Number of people who can speak both Hindi and englsih =
We know that
∴
Hence, the number of people, who can speak both languages.
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?