Home
Class 11
MATHS
If A and B be two sets containing 3 and ...

If A and B be two sets containing 3 and 6 elements respectively. What can be the minimum number of elements in `A cup B`? Find also, the maximum number of elements in `A cup B`.

Text Solution

Verified by Experts

The correct Answer is:
`= 6, 9`
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 1|23 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|25 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.6|8 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

Statement-1 If Sets A and B have three and six elements respectively, then the minimum number of elements in A uu B is 6. Statement-2 maximum number of element in AnnB=3 .

If A and B two sets containing 2 elements and 4 elements, respectively. Then, the number of subsets of A xx B having 3 or more elements, is

Let A and B be too sets containing four and two elements respectively then the number of subsets of set AxxB having atleast 3 elements is

If A and B are two sets, then A cap (A cup B) equals to,

If the set A has 3 elements and the set B= {3, 4, 5}, then find the number of elements in (A xx B)

If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).

The number of elements of the power set of a set containing n elements is

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

KUMAR PRAKASHAN-SETS-PRACTICE WORK
  1. Taking the set of natural numbers as the universal set, write down the...

    Text Solution

    |

  2. U= {x|x in N, 1 le x le 10}, A= {1, 3, 5, 7, 9}" and "B= {2, 5, 8}. Ve...

    Text Solution

    |

  3. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  4. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  5. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  6. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  7. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  8. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  9. In a town, 20% population travel by car, 50% travel by bus and 10% pop...

    Text Solution

    |

  10. Out of 100 students, 55 passed in Mathematics and 67 passed in Physics...

    Text Solution

    |

  11. In a survey of a society, 1000 people speak Gujarati or Hindi. 50% peo...

    Text Solution

    |

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

    Text Solution

    |

  13. If A and B be two sets containing 3 and 6 elements respectively. What ...

    Text Solution

    |

  14. In a twon of 840 persons, 450 persons read Hindi 300 read English and ...

    Text Solution

    |

  15. There are 880 boys in a school. Out of these 224 boys play cricket, 24...

    Text Solution

    |

  16. A students has freedom to study any subject of his choice. In a group ...

    Text Solution

    |

  17. In a class of 30 students, 12 students like emboidary, 16 students lik...

    Text Solution

    |

  18. A and B are two sets. (A - B) cup B= A if and only if B sub A.

    Text Solution

    |

  19. A - (B capC) = (A - B) cap (A-C) .

    Text Solution

    |

  20. For any two sets A and B, prove that A cup B= A cap B iff A = B.

    Text Solution

    |