In how many ways can a committee of $6$ members be formed out of $10$ members,such that it always includes a specified member?

  • A
    $\frac{1}{2} {}^{9}P_{5}$
  • B
    ${}^{9}P_{5}$
  • C
    ${}^{9}C_{5}$
  • D
    $\frac{1}{2} {}^{9}C_{5}$

Explore More

Similar Questions

The product of any $r$ consecutive natural numbers is always divisible by

The number of ways of selecting a committee of $30$ persons from $20$ boys,$20$ girls,and $20$ teachers such that the participation of the number of boys,girls,and teachers in that committee is equal,is

If ${ }^{15} C_4+{ }^{15} C_5+{ }^{16} C_6+{ }^{17} C_7+{ }^{18} C_8={ }^{19} C_{r}$,then the value of $r$ is equal to

If $^{15}C_{3r} = ^{15}C_{r+3}$,then the value of $r$ is

Let $N$ be the set of positive integers. The number of distinct triplets $(x, y, z)$ satisfying $x, y, z \in N, x < y < z$ and $x+y+z=12$ 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