$^nC_r + 2^nC_{r-1} + ^nC_{r-2} = $

  • A
    $^{n+1}C_r$
  • B
    $^{n+1}C_{r+1}$
  • C
    $^{n+2}C_r$
  • D
    $^{n+2}C_{r+1}$

Explore More

Similar Questions

How many numbers are there between $100$ and $1000$ in which all the digits are distinct?

The total number of numbers greater than $100$ and divisible by $5$,that can be formed from the digits $3, 4, 5, 6$,if no digit is repeated is:

Difficult
View Solution

In how many ways can $5$ sportsmen be selected from a group of $10$?

In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls?

The number of times the digit $3$ will be written when listing the integers from $1$ to $1000$ is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo