Home
Class 11
MATHS
If the difference of the number of arran...

If the difference of the number of arrangements of three things from a certain number of dissimilar things and the number of selection of the same number of things from them exceeds 100, then the least number of dissimilar things is a. `8` b. `6` c. `5` d. `7`

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

Number of ways of selecting one or more things out of n dissimilar things are

Number of ways of selecting one or more things out of n dissimilar things are

Number of ways of selecting one or more things out of n dissimilar things are

The number of permutations of n things taken r at a time if 3 particular things always occur is

If three numbers are in H.P., then the numbers obtained by subtracting half of the middle number from each of them are in

Number of ways of selecting r consecutive things out of n things

Find the number of selections of one or more things from the group of p identical things of one type, q identical things of another type, r identical things of the third type and n different things.

Find the number of permutations of n different things taken r at a time such that two specific things occur together?

If a group of n distinct objects, the number of arrangements of 4 object is 12 times the number of arrangements of 2 objects, then the number of objects is (a) 10 (b) 8 (c) 6 (d) none of these

Find the total number of permutations of n different things taken not more than r at a time, when each thing may be repeated any number of times.

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. To fill 12 vacancies, there are 25 candidates of which 5 are from sc...

    Text Solution

    |

  2. Find the number of ways in which 6 boys and 6 girls can be seated in a...

    Text Solution

    |

  3. If the difference of the number of arrangements of three things fro...

    Text Solution

    |

  4. The number of ways in which the letters of the word ARRANGE be arrange...

    Text Solution

    |

  5. The sum of all four-digit numbers that can be formed by using the d...

    Text Solution

    |

  6. Find the value (s) of r satisfying the equation "^69 C(3r-1)-^(69)C(r...

    Text Solution

    |

  7. The number of ordered pairs of integers (x ,y) satisfying the e...

    Text Solution

    |

  8. Prove that "^n Cr+^(n-1)Cr+...+^r Cr=^(n+1)C(r+1) .

    Text Solution

    |

  9. The number of five-digit telephone numbers having atleast one of the...

    Text Solution

    |

  10. If ^(15)C(3r)=^(15)C(r+3) , then find r.

    Text Solution

    |

  11. How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying...

    Text Solution

    |

  12. In how many ways can 10 different prizes be given to 5 students if one...

    Text Solution

    |

  13. The number of ways in which we can distribute m n students equally...

    Text Solution

    |

  14. Consider the equation 2/x+5/y=1/3w h e r ex ,y in Ndot Find the numbe...

    Text Solution

    |

  15. Find the number of ways to give 16 different things to three persons A...

    Text Solution

    |

  16. In how many ways can 10 persons take seats in a row of 24 fixed seats ...

    Text Solution

    |

  17. If n objects are arrange in a row, then the number of ways of sele...

    Text Solution

    |

  18. In how many ways can a party of 6 men be selected out of 10 Hindus, 8 ...

    Text Solution

    |

  19. Fifteen identical balls have to be put in five different boxes. Eac...

    Text Solution

    |

  20. Find the total number of positive integral solutions for (x ,y ,z) suc...

    Text Solution

    |