Home
Class 11
MATHS
In an examination hall, there are four r...

In an examination hall, there are four rows of chairs. Each row has 8 chairs one behind the other. There are two classes sitting for the examination with 16 students in each class. It is desired that in each row, all students belong to the same class and that no two adjacent rows are allotted to the same class. In how many ways can these 32 students be seated?

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE|319 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE|169 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos

Similar Questions

Explore conceptually related problems

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done ?

A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the teams be constituted ?

A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular and two on the other side. In how many ways can they be seated?

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen ?

In an examinations there are three multiple choice questions and each questions has 4 choices. Find the number of ways in which a student can fail to get all answer correct.

A question paper has two parts: Part A and Part B. each part containing ten questions. If the student has to choose 8 questions form part A and 5 questions from part B. In how many ways can he choose the questions?

A class has 30 students, In how many ways can three prizes be awarded so that: no student gets more than one prize?

A class has 30 students, In how many ways can three prizes be awarded so that: a student may get any number of prizes?

Six X 's have to be placed in the squares of the figure below, such that each row contains atleast one X. in how many different ways can this be done?

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. A teacher wants to arrange 5 students on the platform such that the bo...

    Text Solution

    |

  2. When a group photograph in taken, all the seven teachers should be in ...

    Text Solution

    |

  3. In an examination hall, there are four rows of chairs. Each row has 8 ...

    Text Solution

    |

  4. Find the number of permutations of 8 things, taken 3 at a time, in whi...

    Text Solution

    |

  5. Find the number of permutations of 8 things, taken 3 at a time, in whi...

    Text Solution

    |

  6. Find the number of permutations of 12 things, taken 6 at a time, in wh...

    Text Solution

    |

  7. Find the number of permutations of 12 things, taken 6 at a time, in wh...

    Text Solution

    |

  8. Find the number of permutations of n things, taken r at a time, in whi...

    Text Solution

    |

  9. Find the number of permutations of n things, taken r at a time, in whi...

    Text Solution

    |

  10. How many 5-digit numbers can be formed by using the digits 5, 4, 3, 3,...

    Text Solution

    |

  11. In how many ways can 3 prizes be given to 10 boys when a boy may recei...

    Text Solution

    |

  12. In how many ways can 4 prizes be given to 3 boys when a boy is eligibl...

    Text Solution

    |

  13. How many possible outcomes are there if 2 coin is tossed 5 times ?

    Text Solution

    |

  14. There are 10 true-false Statements in a question paper. How many seque...

    Text Solution

    |

  15. There are 4 candidates for the post of a lecturer in Mathematics and o...

    Text Solution

    |

  16. How many numbers greater than 1000000 can be formed by using the digit...

    Text Solution

    |

  17. How many 5-digit even numbers can be formed using the digits 1,2,5,4,5...

    Text Solution

    |

  18. How many numbers of four digits can be formed by using the digits 1, 3...

    Text Solution

    |

  19. How many numbers between 20,000 and 30,000 can be formed by using the ...

    Text Solution

    |

  20. How many numbers greater than one lac can be formed by using the digit...

    Text Solution

    |