Home
Class 12
MATHS
The value of sum(r=1)^(n)(nP(r))/(r!)=...

The value of `sum_(r=1)^(n)(nP_(r))/(r!)=`

A

`2^n`

B

`2^n-1`

C

`2^(n-1)`

D

`2^n+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos
  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

The value of sum_(r=1)^(10)r(n C_(r))/(n C_(r-1)) =

The value of sum_(r=1)^(n) log ((a^(r ))/( b^(r-1))) is :

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

Evaluate sum_(r=1)^(n)rxxr!

If {x} and [x] represent fractional and integral part of x respectively, find the value of [x]+sum_(r=1)^(2000)({x+r})/2000

sum_(r=0)^(m)( n+r )C_(n)=

If C_(r) stands for ""^(n)C_(r) and sum_(r=1)^(n)(r*C_(r))/(C_(r-1))=210 , then n equals:

Find he value of sum_(r=1)^(4n+7)\ i^r where, i=sqrt(- 1).

Let S_(n) denote the sum of the cubes of the first n natural numbers and s_(n) denote the sum of the first n natural numbers. Then sum_(r=1)^(n)(S_(r))/( S_(r )) equals :

sum_(r=1)^oo((4r+5)5^(-r))/(r(5r+5))

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. Which of the following is not correct?

    Text Solution

    |

  2. If ""^nCr-84,""^nC(r-1)=36 and ""^nC(r+1)=126 , then n equals :

    Text Solution

    |

  3. The value of sum(r=1)^(n)(nP(r))/(r!)=

    Text Solution

    |

  4. nCr+2. nC(r-1)+nC(r-2)=

    Text Solution

    |

  5. If n+2C(8):n-2P(4)=57:16 then the value of 'n' is

    Text Solution

    |

  6. How many signals can be made by 5 flags from 8 flags of different col...

    Text Solution

    |

  7. How many different words each containing 3 vowels and 5 consonants ca...

    Text Solution

    |

  8. The number of permutations of 'n' different objects taken r at a time...

    Text Solution

    |

  9. The number of different seven digit numbers that can be written usin...

    Text Solution

    |

  10. A polygon has 170 diagnols. How many sides will it have?

    Text Solution

    |

  11. The number of 2 xx 2 matrices having elements 0 and 1 is

    Text Solution

    |

  12. There are 'n' seats round a table numbered 1,2, 3,….,n. The number of...

    Text Solution

    |

  13. All the letters of the word ' EAMCET '' are arranged in all possible w...

    Text Solution

    |

  14. The straight lines , l1,l2 and l3 are parallel and lie in the same pla...

    Text Solution

    |

  15. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  16. The number of ways in which 5 boys and 3 girls can he seated in a row ...

    Text Solution

    |

  17. The maximum number of points into which 4 circles and 4 st . Lines int...

    Text Solution

    |

  18. The maximum number of points of intersection of 7 circles is

    Text Solution

    |

  19. The number of four digit even numbers that can be formed using 0,1,2,3...

    Text Solution

    |

  20. How many four digit numbers can be formed using digits 1,2,3,4,5 such ...

    Text Solution

    |