In a group of 2000 people there are 1500, who can speak Hindi and 800, who can speak Bengali. How many can speak Hindi only ? How many can speak Bengali only?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

In a group of 1000 people , 750 can speak Bengali All the people speak Hindi and one of the two languages How many can speak Hindi only? How Many can speak Bengali? How many can speak both hindi and Bengali ?

In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks at least one language. (i) How many people can speak both Hindi and English? (ii) How many people can speak Hindi only? (iii) How many people can speak English only?

It is known that in a group of people, each of which speaks at least one of the languages English, Hindi and Bengali, 31 speak English, 36 speak Hindi and 27 speak Bengali. 10 speak both English and Hindi, 9 both English and Bengali and 11 both Hindi and Bengali. Using a Venn diagram or otherwise, prove that the group contains at least 64 people and not more than 73 people.

A group consists of a number of students and each students and each student of the group can speak at least one of the languages Bengali, Hindi and English. 65 can speak Bengali, 54 Hindi and 37 English, 31 can speak both Bengali and Hindi, 17 both Hindi and English, and 18 both Bengali and English. Determine the greatest and least number of students in the group.

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

Out of 40 boys 30 can swim, 27 can play chess and only 5 can fo neither. How many can swim only ?

In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

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?

In how many ways can 6 boys form a ring ?