Home
Class 12
MATHS
If (2 le r le n). then ""^(n)C(r) + 2. "...

If `(2 le r le n)`. then `""^(n)C_(r) + 2. ""^(n)C_(r+2)` is equal to

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

If .^(2n)C_(r)=.^(2n)C_(r+2) find the value of r.

(n)p_(r)=k^(n)C_(n-r),k=

Knowledge Check

  • If (2lerlen) , then ""^(n)C_(r)+2.""^(n)C_(r+1)+""^(n)C_(r+2) is equal to

    A
    `2.""^(n)C_(r+2)`
    B
    `""^(n+1)C_(r+1)`
    C
    `""^(n+2)C_(r+2)`
    D
    `""^(n+1)C_(r)`
  • If .^(n)P_(r)=x.^(n)C_(r) x=

    A
    `.^(n)P_(r-1)`
    B
    `.^(n)C_(r-1)`
    C
    `n!`
    D
    `r!`
  • .^(n-1)C_(r)+^(n-1)C_(r-1)=

    A
    `.^(n)C_(r+1)`
    B
    `.^(n)C_(r+1)`
    C
    `.^(n+1)C_(r)`
    D
    `.^(n)C_(r)`
  • Similar Questions

    Explore conceptually related problems

    The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

    If .^(n)P_(r)=120xx.^(n)C_(n-r) , find the valueof r.

    If 2lerlen show that ^nC_r +2 ^nC_(r-1) +^nC_(r-2)=^(n+2)C_r

    If n in N then ^(n)C_0+^(n+1)C_1+^(n+2)C_2+....+^(n+r)C_r is equal to

    If ""(n)C_(r) denotes the number of combinations of n different things taken r at a time, then the vlaue of ""^(n)C_(r+1)+""^(n)C_(r-1) + 2. ""^(n) C_(r) is-