Home
Class 11
MATHS
show that 2^16 divides 32!. also, find t...

show that `2^16` divides `32!`. also, find the largest value of n for which `32!` is divisible by `2^n`.

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    JBD PUBLICATION|Exercise EXAMPLE|59 Videos
  • MODEL PAPER (8)

    JBD PUBLICATION|Exercise EXERICSE|41 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    JBD PUBLICATION|Exercise EXAMPLE|11 Videos

Similar Questions

Explore conceptually related problems

Find the smallest four digit number which is divisible by 18,24 and 32.

Find the value of 0.32bar58

Show that n^7-n is divisible by 42 .

What is the largest power of 2 contained in 32! .

n^2-1 is divisible by 8, if n is

Prove that 3^(2n)+24n-1 is divisible by 32 .

JBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXAMPLE
  1. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

    Text Solution

    |

  2. If (n!)/(2!(n-2)!):(n!)/(4!(n-4)!) =2:1. Find the value of n.

    Text Solution

    |

  3. show that 2^16 divides 32!. also, find the largest value of n for whic...

    Text Solution

    |

  4. What is the largest power of 2 contained in 32!.

    Text Solution

    |

  5. How many different words (with or without meaning) can be formed using...

    Text Solution

    |

  6. Find the value of n such that ""^nP5 = 42 ""^nP3,,n gt 4.

    Text Solution

    |

  7. Find n if "^(n-1)P3 : "^nP4 =1:9.

    Text Solution

    |

  8. Find r if "^5Pr =2 "^6P(r-1).

    Text Solution

    |

  9. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  10. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  11. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  12. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  13. How many words can be formed by using the letters of the word 'ORIENTA...

    Text Solution

    |

  14. There are three prizes to be distributed among 6 students. In how many...

    Text Solution

    |

  15. There are three prizes to be distributed among 6 students. In how many...

    Text Solution

    |

  16. There are three prizes to be distributed among 6 students. In how many...

    Text Solution

    |

  17. In how many ways can the letters of the word ASSASSINATION be arranged...

    Text Solution

    |

  18. In how many ways can be letters of word 'ASSASSINATION' be arranged so...

    Text Solution

    |

  19. How many different words, with or without meaning can be formed by usi...

    Text Solution

    |

  20. How many different words, with or without meaning can be formed by usi...

    Text Solution

    |