Home
Class 12
MATHS
""^(2n)C(n+1)+2. ""^(2n)C(n) + ""^(2n) C...

`""^(2n)C_(n+1)+2. ""^(2n)C_(n) + ""^(2n) C_(n-1) `=

A

`""^((2n+2))C_(n+1)`

B

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

C

`""^(n)C_(n)`

D

`""^((2n+1))C_(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-I|60 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

((1 + ""^nC_1 + ""^nC_2 + ""^nC_3+…….+nC_n)^2)/(1 + ""^(2n)C_1 + ""^(2n)C_2 + ""^(2n)C_3 + ……… + ""^(2n)C_(2n)) =

""^(n) C_(r+1)+2""^(n)C_(r) +""^(n)C_(r-1)=

Prove that (C_(0) +C_(1)+C_(2)+….+C_(n))^(2)=1 +""^(2n)C_(1) +""^(2n)C_(2) +…..+""^(2n)C_(2n)

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

Prove that (""^(2n)C_(0))^(2)-(""^(2n)C_(1))^(2)+(""^(2n)C_(2))-(""^(2n)C_(3))^(2)+......+(""^(2n)C_(2n))^(2)=(-1)^(n)(""^(2n)C_(n))^2.

""^(2n +1)C_0^2 -""^(2n+1)C_1^2 + ""^(2n+1)C_2^2 -…….- ""^(2n+1)C_(2n+1)^2 =

Match the following {:("List-I","List-II"),((I)""^(n)C_(r+1)+2""^(n)C_(r)+""^(n)C_(r-1),(a)""^((n+2))C_(r+1)),((II)""^((n+1))C_(3)-""^(n-1)C_(3),(b)(n-1)^(2)),((III)""^(2n)C_(2)-2""^(n)C_(2),(c)n^(2)),(,(d)""^(n+1)C_(r+1)):} The correct match is

""^(n-2)C_(r)+2.""^(n-2)C_(r-1)+""^(n-2)C_(r-2) is equal to

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. If ""^(n)P(r)=""^(n)P((r+1))and ""^(n)C(r) = ""^(n)C(r-1), then (n,...

    Text Solution

    |

  2. IF ""^(n) P(r)=720,""^(n)C(r)=120then (n,r)=

    Text Solution

    |

  3. ""^(2n)C(n+1)+2. ""^(2n)C(n) + ""^(2n) C(n-1) =

    Text Solution

    |

  4. the value of ""^50C(4) + underset( r=1) overset( 6 ) sum ""^(56...

    Text Solution

    |

  5. sum( r=0 )^ ( 10) ( 40 -r)C (5)=

    Text Solution

    |

  6. If ""^(n-1)C(3)+""^(n-1)C(4)gt""^(n)C(3), then

    Text Solution

    |

  7. If ""^(n)C(4),""^(n)C(5),""^(n)C(6) are in A.P., then the value of n i...

    Text Solution

    |

  8. If ""^(n)C(r-1)=36,""^(n)C(r)=84 and ""^(n)C(r+1)=126, then r is equal...

    Text Solution

    |

  9. The value of 2^(n)n!(1.3.5.....(2n-1)) is

    Text Solution

    |

  10. If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) then sum(r=0)^(n)(r)/(""^(n)C(r))...

    Text Solution

    |

  11. ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-3)+""^(n)C(r-4) i...

    Text Solution

    |

  12. The sum sum(i=0)^(m)((10)/(i))((20)/(m-i)) is maximum when m is

    Text Solution

    |

  13. In a football championship there were played 153 matches. Every two te...

    Text Solution

    |

  14. From a group of persons the number of ways of selecting 5 persons is e...

    Text Solution

    |

  15. In a chess tournament where the participants were to play one game wit...

    Text Solution

    |

  16. A teacher takes 3 children from her class to the zoo at a time as ofte...

    Text Solution

    |

  17. From 0 to 9, four digited numbers can be formed such that the digits a...

    Text Solution

    |

  18. The total number of 4 digit numbers in which the digits are in descend...

    Text Solution

    |

  19. There are 12 balls numbered from 1 to 12. The number of ways in which ...

    Text Solution

    |

  20. The number of ways in which we can select four numbers from 1 to 30 so...

    Text Solution

    |