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JEE Main 201510 AprilOnline
Exam
JEE Main
Year
2015
Date
10 April
Mode
Online
Subject
Mathematics
Chapter
Permutation and Combination

JEE Main 2015 · 10 April · Online · Mathematics · Permutation and Combination

The number of ways of selecting 15 teams from 15 men and 15 women,...

The number of ways of selecting 1515 teams from 1515 men and 1515 women, such that each team consists of a man and a woman is

Options

  1. A19601960
  2. B15!15 !
  3. C{\left(15 !\right)}^{2}
  4. D14!14 !

Correct answer

B. 15!15 !

Step-by-step solution

First team can be selected in (15C1.15C1){(}^{15}{C}_{1}{.}^{15}{C}_{1} ) way, second in (14C1.14C1){(}^{14}{C}_{1}{.}^{14}{C}_{1} ) way and so on. So, number of ways of selecting 1515 teams = \dfrac{{\left(15 !\right)}^{2}}{15 !} = \left(15 !\right)
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