Home
Class 11
MATHS
A sports team of 11 students is to be co...

A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. if there are 20 students in each of these classes, in how many ways can the team be constituted. What is the importance of sports in one's life ?

Text Solution

Verified by Experts

Total students in each class = 20
We have to selects atleast 5 students from each class.
Hence, selection of sport team of 11 students from each class is given in following table
`{:("Class XI", 5, 6),("Class XII", 6, 5):}`
`therefore` Total number of ways of selecting a team of 11 players `= ""^(20)C_(5) xx ""^(20)C_(6) + ""^(20)C_(6) xx ""^(20)C_(5)`
`= 2 xx ""^(20)C_(5) xx ""^(20)C_(6)`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Objective Type Questions|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Fillers|9 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Matching The Columns|5 Videos

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 25 students in each of these classes, in how many ways can the teams be constituted?

From a class of 32 students,4 are to be chosen for a competition.In how many ways can this be done?

From a class of 25 students, 4 are to be chosen for a competition. In how many ways can this be done?

There are 42 students in a class and 5/7 of the students are boys. How many girls are there in the class?

From a class of 30 student , 3 are to be chosen for a competition . In how many ways can this be done ?

There are 10 students in a class.In how many ways a 5 -member committee can be formed in which one is president,one is secretary and one is treasurer?

There are 45 students in a class and 3/5 of them are boys. How many girls are there in the class?

From a class of 40 students, in how many ways can five students be chosen (i) For an excursion party.