Home
Class 12
MATHS
In a group of 1000 people, there are 750...

In a group of 1000 people, there are 750 who can speak Hindi and 400 who can speak Bengali. How many can speak Hindi only? How many can speak Bengali only? How many can speak both Hindi and Bengali?

Text Solution

AI Generated Solution

To solve the problem, we will use the principle of inclusion-exclusion for sets. Let's denote: - \( H \): the set of people who speak Hindi - \( B \): the set of people who speak Bengali - \( |H| \): the number of people who speak Hindi - \( |B| \): the number of people who speak Bengali - \( |H \cap B| \): the number of people who speak both Hindi and Bengali - \( |H \cup B| \): the total number of people who speak at least one of the two languages ...
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|11 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|10 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

Similar Questions

Explore conceptually related problems

In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: How many can speak both Hindi and English. How many can speak English only. How many can speak Hindi 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 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English?

In a group of400 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 all of whom speak atleast one of Bengali or Hindi language, there are 750 who can speak Hindi and 400 who can speak Bengali. If number of people who can speak Bengali only is B and the people who can speak both Hindi and Bengali is C, then.

In a group of 400 persons 250 can speak Hindi and 200 can speak English. Each person speak atleast one language. Find how many persons can speak both languages ?

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?

in a class of 45 student, 22 can speak hindi and 12 can speak English only . The number of students , who can speak both Hindi and English , is

In a group of 50 persons, 40 speak Hindi and 25 speak English and Hindi both. Find how many persons speak only English ? Also find how many persons speak English ?

In a survey of population of 450 people, it is found that 205 can speak English, 210 can speak Hindi and 120 people can speak Tamil. If 100 people can speak both Hindi and English, 80 people can speak both English and Tamil, 35 people can speak Hindi and Tamil and 20 people can speak all the three languages, find the number of people who can speak English but not a Hindi or Tamil. Find also the number of people who can speak neither English nor Hindi nor Tamil.