Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2015 · Mathematics · Permutation and Combination

The number of ways in which a cricket team of 11 players be chosen...

The number of ways in which a cricket team of 11 players be chosen out of a batch of 15 players so that the captain of the team is always included, is

Options

  1. A165
  2. B364
  3. C1001
  4. D1365

Correct answer

C. 1001

Step-by-step solution

If captain is always included then we can choose 10 more players out of the remaining 14 players. So 14C10=14!10!4!=1001{ }^{14} \mathrm{C}_{10}=\frac{14!}{10!4!}=1001
Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list Permutation and Combination JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs