Home
Class 11
MATHS
In a class of 35 students, 24 like to pl...

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football ?

Text Solution

Verified by Experts

The correct Answer is:
`= 5`
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|37 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|17 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise LATEST EXAMS MCQs|2 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

In a class of 60 students, 25 students play cricket and 20 students play tennis and 10 students play both the games. Find the number of students who play neither.

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

Out of 100 students, 55 passed in Mathematics and 67 passed in Physics 100 students passed at least one of these two subjects. Find how many students passed in Physics only?

In a class of 30 students, 12 students like emboidary, 16 students like physics and 18 student like history. If all students select at least one subject and none of them select all the subject then find the number of students select 2 subject.

In a group of children, 35 play football out of which 20 play football only, 22 play hockey, 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both. How many play all the three games ? How many play cricket and hockey but not football, how many play hockey only? What is the total number of children in the group?

Thirty six games were played in a football tournament with each team playing once against each other. How many teams were there?

There are 880 boys in a school. Out of these 224 boys play cricket, 240 boys play hockey and 336 boys play basketball, 64 boys play both hockey and basketball, 80 boys play both cricket and basketball and 40 boys play both cricket and hockey. If 24 boys play all these three, then find the number of boys play none of these three game.

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?

Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games bow many members are there in all?

KUMAR PRAKASHAN-SETS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 }. Find A...

    Text Solution

    |

  2. Let A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find A – B and B – A.

    Text Solution

    |

  3. Let V = { a, e, i, o, u } and B = { a, i, k, u}. Find V – B and B – V

    Text Solution

    |

  4. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find...

    Text Solution

    |

  5. Let U be universal set of all the students of Class XI of a coeducatio...

    Text Solution

    |

  6. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}. Find A′, B...

    Text Solution

    |

  7. If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elem...

    Text Solution

    |

  8. In a school there are 20 teachers who teach mathematics or physics. Of...

    Text Solution

    |

  9. In a class of 35 students, 24 like to play cricket and 16 like to play...

    Text Solution

    |

  10. In a survey of 400 students in a school, 100 were listed as taking app...

    Text Solution

    |

  11. There are 200 individuals with a skin disorder, 120 had been exposed t...

    Text Solution

    |

  12. There are 200 individuals with a skin disorder, 120 had been exposed t...

    Text Solution

    |

  13. There are 200 individuals with a skin disorder, 120 had been exposed t...

    Text Solution

    |

  14. Show that the set of letters needed to spell “ CATARACT ” and the set ...

    Text Solution

    |

  15. List all the subsets of the set { –1, 0, 1 }.

    Text Solution

    |

  16. Show that A ∪ B = A ∩ B implies A = B

    Text Solution

    |

  17. For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ).

    Text Solution

    |

  18. A market research group conducted a survey of 1000 consumers and repor...

    Text Solution

    |

  19. Out of 500 car owners investigated, 400 owned car A and 200 owned car...

    Text Solution

    |

  20. A college awarded 38 medals in football, 15 in basketball and 20 in cr...

    Text Solution

    |