Home
Class 11
MATHS
The number of ways in which 12 books can...

The number of ways in which 12 books can be put in three shelves with four on each shelf is a. `(12 !)/((4!)^3)` b. `(12 !)/((3!)(4!)^3)` c. `(12 !)/((3!)^3 4!)` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

There are three copies each of four different books. The number of ways in which they can be arranged in a shelf is. a. (12 !)/((3!)^4) b. (12 !)/((4!)^3) c. (21 !)/((3!)^4 4!) d. (12 !)/((4!)^3 3!)

The number of ways in which 12 different objects can be divided into three groups each containing 4 objects is (i) ((12!))/((4!)^(3)(!3)) (ii) ((12!))/((4!)^(3)) (iii) ((12!))/((4!)) (iv) none

Number of ways in which 12 different things can be distributed in 3 groups, is

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)

A library has a copies of one book, b copies each of two books, c copies each of three books, a single copy of d books. The total number of ways in which these books can be arranged in a shelf is equal to a. ((a+2b+3c+d)!)/(a !(b !)^2(c !)^3) b. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^3) c. ((a+b+3c+d)!)/((c !)^3) d. ((a+2b+3c+d)!)/(a !(2b !)^(c !)^)

In how many ways can 12 books be divided in 3 students equally?

The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive is 4!xx3! b. 4! c. 3!xx3! d. none of these

1/((2 1/3))+1/((1 3/4)) is equal to (a) 7/(14) (b) (12)/(49) (c) 4 1/(12) (d) None of these

The number of different mastrices which can be formed using 12 different real numbers is (A) 6(12)! (B) 3(12)! (C) 2(10)! (D) 4(10)!|

If the number of ways in which n different things can be distributed books each having 5 copies takig at least 2 copies of each books is 256, then n= (A) 3 (B) 4 (C) 5 (D) none of these

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. A person buys eight packets of TIDE detergent. Eachpacket contains one...

    Text Solution

    |

  2. There are three copies each of four different books. The number of ...

    Text Solution

    |

  3. The number of ways in which 12 books can be put in three shelves wi...

    Text Solution

    |

  4. The total number of ways in which 2n persons can be divided into n ...

    Text Solution

    |

  5. Let x1 , x2 , x3,....., xk be the divisors of positive integer n (inc...

    Text Solution

    |

  6. Let A = {x1, x2, x3, ,x7},B={y1, y2, y3} The total number of func...

    Text Solution

    |

  7. The total number of ways in which n^2 number of identical balls...

    Text Solution

    |

  8. Six X ' s have to be placed in thesquares of the figure below, such th...

    Text Solution

    |

  9. Column I, Column II Four dice (six faced) are rolled. The number...

    Text Solution

    |

  10. A committee of 12 is to be formed from nine women and eight men. In ho...

    Text Solution

    |

  11. Let Tn denote the number of triangles, which can be formed using t...

    Text Solution

    |

  12. In a group of boys, two boys are brothers and six more boys are pres...

    Text Solution

    |

  13. If N is the number of ways in which a person can walk up a stairwa...

    Text Solution

    |

  14. If ^nCr=84 ,^n C(r-1)=36 ,a n d^n C(r+1)=126 , then find the value of...

    Text Solution

    |

  15. Column I Column II Total number of function f:{1,2,3,4,5}vec{1,2...

    Text Solution

    |

  16. find 7C4

    Text Solution

    |

  17. A function is defined as f:[a1, a2, a3, a4, a5, a6]vec{b1, b2, b3}dot ...

    Text Solution

    |

  18. Find the number of ways in which 22 different books can be given to 5 ...

    Text Solution

    |

  19. Consider the convex polygon, which has 35 diagonals. Then match the ...

    Text Solution

    |

  20. Find 5C0

    Text Solution

    |