Home
Class 12
MATHS
Two classrooms A and B having capacity o...

Two classrooms A and B having capacity of 25 and (n-25) seats respectively. `A_(n)` denotes the number of possible seating arrangements of room ‘A’, when ‘n’ students are to be seated in these rooms, starting from room ‘A’ which is to be filled up full to its capacity. If `A_(n) – A_(n – 1)` = 25! (`""^(49)C_(25)`) then ‘n’ equals

A

50

B

48

C

49

D

51

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 2 (LEVEL -II)|18 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE -3|23 Videos

  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos

  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

Similar Questions

Explore conceptually related problems

Two classrooms A and B having capacity of 25 and (n-25) Seats respectively. A_n, denotes the number of possible seating arrangements of room 'A', when 'n' students are to be seated in the rooms, starting from room 'A', which is to be filled up full to its capacity If A_n-A_(n-1)=25!(C(49,25)) then the value of 'n' is

A, B are two students in a group of n students. If the number of ways of assigning the n students to a line of n single rooms such that A and B are not in adjacent rooms is 3600, then n is equal to:

There are 2 students A & B in a group of n students. Find the number of ways of assigning the n students to a line of n single rooms such that (i) A and B are in adjacent rooms, and (ii) A and B are not in adjacent rooms.

Find the sum of the first 25 terms of an A.P. whose nth term is given by a_(n)=2-3n

Find the sum of the first 25 terms of an A.P. whose nth term is given by a_(n)=7-3n

Two persons are selected at random, from n persons seated in a row (n ge 3) . The probability that the selected persons are not seated consecutively, is equal to

m men and n women are to be seated in a row so that no two women sit together.If (m>n) then show that the number of ways in which they can be seated as (m!(m+1)!)/((m-n+1)!)

There are n seats round a table numbered 1,2,3,dots,n. The number of ways in which m(<=n) persons can take seats is

Let A = [a_(ij)] " be a " 3 xx3 matrix and let A_(1) denote the matrix of the cofactors of elements of matrix A and A_(2) be the matrix of cofactors of elements of matrix A_(1) and so on. If A_(n) denote the matrix of cofactros of elements of matrix A_(n -1) , then |A_(n)| equals

MOTION-THEORY AND EXERCISE BOOK-EXERCISE -2 (LEVEL - I)
  1. In a unique hockey series between India and Pakistan, they decide to p...

    Text Solution

    |

  2. Two classrooms A and B having capacity of 25 and (n-25) seats respecti...

    Text Solution

    |

  3. A five digits number divisible by 3 is to be formed using the number 0...

    Text Solution

    |

  4. How many ways are there to arrange the letters in the word GARDEN with...

    Text Solution

    |

  5. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  6. Numbers greater than 1000 but less than 4000 are formed using the digi...

    Text Solution

    |

  7. Total number of four digit odd numbers that can be formed by using 0, ...

    Text Solution

    |

  8. Fifty college teachers are surveyed as to their possession of colour T...

    Text Solution

    |

  9. The number of ways in which 6 men and 5 women can dine at a round tabl...

    Text Solution

    |

  10. Three vertices of a convex n sided polygon are selected. If the number...

    Text Solution

    |

  11. There are 12 guests at a dinner party. Supposing that the master and m...

    Text Solution

    |

  12. Let P(n) denotes the number of ways of selecting 3 people out of 'n' s...

    Text Solution

    |

  13. If ""(n)C(r) denotes the number of combinations of n different things ...

    Text Solution

    |

  14. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  15. There are 100 different books in a shelf. Number of ways in which 3 bo...

    Text Solution

    |

  16. Find the number of positive integral solutions satisfying the equation...

    Text Solution

    |

  17. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  18. Find the number of groups that can be made from 5 different green ball...

    Text Solution

    |

  19. Find the number of ways of dividing 52 cards among four players equ...

    Text Solution

    |

  20. In how many ways can 8 different books be distributed among 3 students...

    Text Solution

    |