Q. 64.0( 7 Votes )

A sports team of

Answer :

There are 20 students in each classes and there is need of at least 5 students in each class to form a team of team of 11.


Now,


There are two ways in which the selection can be possible


1. Selecting 5 from XI and 6 from XII


2. Selecting 6 from XI and 5 from XII


Now, considering first case ,


No. of ways in selection of 5 students from 20 in class XI = 20C5


No. of ways in selection of 6 students from 20 in class XII = 20C6


By multiplication principle total no. of ways in first case is


= 20C5 20C6


Now, considering second case,


No. of ways in selection of 6 students from 20 in class XI = 20C6


No. of ways in selection of 5 students from 20 in class XII = 20C5


By multiplication principle total no. of ways in second case is


= 20C6 20C5


Now the total no. of ways will be the addition of both the cases


= = 20C5 20C6 + 20C6 20C5


= 2 20C6 20C5


Thus these are the ways by which A sports team of 11 students is to be constituted


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

There are 1RD Sharma - Mathematics

How many diRD Sharma - Mathematics

A committeeRD Sharma - Mathematics

How many woRD Sharma - Mathematics

A paralleloRD Sharma - Mathematics

How many woRD Sharma - Mathematics

In an examiRD Sharma - Mathematics

Out of 18 pRD Sharma - Mathematics

A committeeRD Sharma - Mathematics

How many woRD Sharma - Mathematics