$^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

If set $A$ contains $8$ elements,then the number of subsets of $A$ which contain at least $6$ elements is

If ${ }^{(n-1)} C_3+{ }^{(n-1)} C_4>{ }^n C_3$,then the minimum value of $n$ is

The value of $^{15}C_{3} + ^{15}C_{13}$ is

The value of ${ }^{49} C_3+{ }^{48} C_3+{ }^{47} C_3+{ }^{46} C_3+{ }^{45} C_3+{ }^{45} C_4$ is

Out of $13$ cricket players,$4$ are bowlers. In how many ways can a team of $11$ players be selected such that the team contains at least $2$ bowlers?

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