$^{n-1}C_3 + ^{n-1}C_4 > ^nC_3$,then the value of $n$ is

  • A
    $7$
  • B
    $< 7$
  • C
    $> 7$
  • D
    None of these

Explore More

Similar Questions

The value of ${ }^{34}C_5 + \sum_{i=0}^4 {}^{38-i}C_4$ is

In how many ways can a group of $7$ persons be formed from $6$ boys and $4$ girls such that the boys are in the majority?

If $\binom{n}{r-1} = 36$,$\binom{n}{r} = 84$,and $\binom{n}{r+1} = 126$,then $r = \dots$

Difficult
View Solution

$A$ bag contains $5$ red marbles,$4$ black marbles,and $3$ white marbles. The number of ways in which $4$ marbles can be drawn so that at most $2$ of them are red is:

The value of $r$ for which $^{20}C_r ^{20}C_0 + ^{20}C_{r-1} ^{20}C_1 + ^{20}C_{r-2} ^{20}C_2 + ... + ^{20}C_0 ^{20}C_r$ is maximum 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