Home
Class 12
MATHS
""^(m)C(r+1)+ sum(k=m)^(n)""^(k)C(r) is ...

`""^(m)C_(r+1)+ sum_(k=m)^(n)""^(k)C_(r)` is equal to :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Probability|34 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Random Variable|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos
  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

Similar Questions

Explore conceptually related problems

sum_(k=1)^(2n+1)(-1)^(k-1)k^(2) equals to

""^(n)C_(r)+4.""^(n)C_(r-1)+6.""^(n)C_(r-2)+4.""^(n)C_(r-3)+""^(n)C_(r-4) is equal to

Knowledge Check

  • sum_(r=0)^(n)(P_(r))/(r!) is equal to

    A
    `2^(n-1)`
    B
    `2^(n)`
    C
    `2^(n)+1`
    D
    `2^(n-1)`
  • If a_(n)=sum_(r=0)^(n)(1)/(""^(n)C_(r)) then sum_(r=0)^(n)(r)/(""^(n)C_(r)) equal to

    A
    `""^((n-1))a_(0)`
    B
    `n.a_(n)`
    C
    `(1)/(2)n.a_(n)`
    D
    `a_(n+1)`
  • sum_(r=0)^(n) (""^n C_r)^2 =

    A
    0
    B
    `n!`
    C
    `((2n)!)/(n!)`
    D
    `((2n)!)/((n!)^2)`
  • Similar Questions

    Explore conceptually related problems

    underset(k=1)overset(oo)sum underset(r=0)overset(k)sum (1)/(3^(k))(""^(k)C_(r)) is equal to

    The value of ""^(40) C_(31) + sum _(r = 0)^(10) ""^(40 + r) C_(10 +r) is equal to

    If sum_(r=1)^(n)Cos^(-1)x_(r)=0," then "sum_(r=1)^(n)x_(r) equals to

    ""^(37)C_(4)+sum_(r=1)^(5)(42-r)_(C_(r))=

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