$A$ set contains $11$ elements. The number of subsets of the set which contain at most $5$ elements is

  • A
    ${ }^{12}C_0 + { }^{12}C_2 + { }^{12}C_4$
  • B
    ${ }^{11}C_0 + { }^{11}C_1 + { }^{11}C_2 + { }^{11}C_3 + { }^{11}C_4 + { }^{11}C_5$
  • C
    ${ }^{11}C_0 + { }^{11}C_1 + { }^{11}C_2 + { }^{11}C_3 + { }^{11}C_4 + { }^{11}C_5$
  • D
    ${ }^{11}C_0 + { }^{11}C_1 + { }^{11}C_2 + { }^{11}C_3$

Explore More

Similar Questions

Out of $6$ boys and $4$ girls,a group of $7$ is to be formed. In how many ways can this be done if the group is to have a majority of boys?

The value of ${}^{50}C_4 + \sum_{r=1}^{6} {}^{56-r}C_3$ is

$A$ group consists of $4$ girls and $7$ boys. In how many ways can a team of $5$ members be selected if the team has at least $3$ girls?

The difference between the maximum value of ${}^6C_r$ and ${}^nC_3$ is $16$. Then $n=$

In how many ways can a committee of $6$ members be formed from $8$ men and $4$ women such that the committee contains at least $3$ women?

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