Home
Class 11
MATHS
In a class of 60 boys, there are 45 boys...

In a class of 60 boys, there are 45 boys who play cards and 30 boys play carrom. Using set theory, find:
(i) How many boys play both games.
(ii) How many'boys play cards only.
(iii) How many boys play carroms only.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos
  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

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

In how many ways can 5 boys be seated at a round table?

There are 50 children ina class.Thirty of them are girls . There are 40 children in another class. 25 of them are boys.One student is taken from each class at random. What is the number of outcomes ? How many out comes contain both boys. How many outcomes contain both girls. How many out comes have one boy and one girl.

There are 40 children in a class and 50 % of them are boys. How many boys are there in this class?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

In a school there, are 1240 children and 30 % of them are girls. How many boys are there in the school?

Consider a group of 5 boys and 4 girls In how many ways 3 boys can be selected from the group?

In a class there are 25 boys and 10 girls. The teacher wants to select 1 boy and 1 girl to represent the class in-a function. In how many ways can the teacher make the selection

In how many ways 4 boys and 3 girls be seated in a row of 7 chairs if the boys and girls are to be seated alternately and the boys occupy odd places.

A class has 4 more girls than boys. One day when only 8 boys were absent, the number of girls were twice that of boys. How many girls and boys are there in the class?

V PUBLICATION-SETS-QUESTION BANK
  1. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

    Text Solution

    |

  2. Match each of the set in A described in the roster form with the same ...

    Text Solution

    |

  3. A town has total population. 25000 out of which 13000 read ''The Hindu...

    Text Solution

    |

  4. In a class of 60 boys, there are 45 boys who play cards and 30 boys pl...

    Text Solution

    |

  5. Match each of the set in the roster form with the same set described...

    Text Solution

    |

  6. Describe the following sets by roster method: (i) {x: x^2+5 x+6=0, x...

    Text Solution

    |

  7. Assume that P (A) = P (B).Show that A = B

    Text Solution

    |

  8. Find the smallest set 'Y' such that 'Y ⋃ {1,2}={1,2,3,5,9'}

    Text Solution

    |

  9. If A={1,2,3,4}, B={1,4,5 ,6}, C={4,5,7,8,9} verify that (A uu B) uu C=...

    Text Solution

    |

  10. Show that if A sub B, then C- B sub C - A

    Text Solution

    |

  11. Show that A cap B = A cap C need not imply B = C

    Text Solution

    |

  12. If A={4,5,8,12}, B={1,4,6,9} and C={1,2,4,7,8,10}, then find (i) A...

    Text Solution

    |

  13. Let U={1,2,3,.. ., 10} be the universal set. If A={3,4,6,8}, find A^pr...

    Text Solution

    |

  14. Find A' for A={3,6,7,8}, where universal set 'U' is given by : (i) ...

    Text Solution

    |

  15. Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify...

    Text Solution

    |

  16. Show the following by Venn diagrams: (i) A uu B, A nn B, A-B, B-A, whe...

    Text Solution

    |

  17. Prove that A uuB=A nn B if A=B.

    Text Solution

    |

  18. Let 'A' and 'B' be two finite set such 'that n(A-B)=15, n(A ⋃ B)=90, n...

    Text Solution

    |

  19. In a survey of 600 students in a school,150 students were found to be ...

    Text Solution

    |

  20. Of the number of three athletic teams in a school, 21 are in the baske...

    Text Solution

    |