Home
Class 12
MATHS
sum (k=m)^n "^k Cr is equal to...

`sum _(k=m)^n "^k C_r` is equal to

A

`"^(n+1) C_(r+1)`

B

`""^(n+1) C_(r+1)- "^n C_r`

C

`""^(n+1) C_(r+1)- "^m C_(r+1)`

D

`""^(n+1) C_(r+1)+ "^n C_(r-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SET-1 True of false|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SET -1 FILL IN THE BLANKS |1 Videos
  • PARTIAL FRACTION

    ML KHANNA|Exercise PROBLEM SET-1 (FILL IN THE BLANKS)|8 Videos
  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

sum_(k=m)^(n)kC_(r)

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

ML KHANNA-PERMUTATIONS AND COMBINATIONS -SELF ASSESSMENT TEST
  1. sum (k=m)^n "^k Cr is equal to

    Text Solution

    |

  2. sum(r=0)^m "^(n+r) Cn is equal to

    Text Solution

    |

  3. A polygon has 44 diagonals , then the number of its sides is

    Text Solution

    |

  4. If 7 points out of 12 are in the same straight line, then what is the ...

    Text Solution

    |

  5. All the letters of the word EAMCET are arranged in all possible ways. ...

    Text Solution

    |

  6. Out of 10 red and 8 white balls , 5 red and 4 white balls can be drawn...

    Text Solution

    |

  7. 7 men and 7 women are to sit round a table so that there is a man on e...

    Text Solution

    |

  8. The number of seven digit integers with sum of the digits equal to 10 ...

    Text Solution

    |

  9. The total number of ways in which 5 balls of differ- ent colours can b...

    Text Solution

    |

  10. Assuming the balls to be identical except for difference in colours, t...

    Text Solution

    |

  11. How many different words can be formed by jumbling the letters of the ...

    Text Solution

    |

  12. The number of numbers, that can be formed by using all digits 1,2, 3, ...

    Text Solution

    |

  13. How many words can be formed with the letters o the word MATHEMATICS b...

    Text Solution

    |

  14. In how many ways 7 men and 7 women can sit on a round table such that ...

    Text Solution

    |

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

    Text Solution

    |

  16. IF ""^n C12=""^nC6 then "^n C2=

    Text Solution

    |

  17. There are n points in a place in which p point are collinear. How many...

    Text Solution

    |

  18. There are 10 points in a plane, out of these 6 are collinear. The numb...

    Text Solution

    |

  19. IF x,y,r are positive integers then ""^x Cr+""^x C(r-1) . ""^ y C1+ ...

    Text Solution

    |

  20. A dictionary is printed consisting of 7 lettered words only that can b...

    Text Solution

    |

  21. Let Tn be the number of all possible triangles formed by joining ve...

    Text Solution

    |