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

Students in each class=20
So number of ways
`=> 20_(C_5)**20_(C_6)+20_(C_5)**20_(C_6)`
`=>2**20_(C_5)**20_(C_6)`
Promotional Banner

Topper's Solved these Questions

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 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.

RD SHARMA-COMBINATIONS-Solved Examples And Exercises
  1. How many different selections of 4 books can be made from 10 different...

    Text Solution

    |

  2. From 4 officers and 8 jawans in how many ways can 6 be chose To includ...

    Text Solution

    |

  3. A sports team of 11 students is to be constituted, choosing at least 5...

    Text Solution

    |

  4. 21.A student has to answer 10 questions, choosing at least 4 fromeach ...

    Text Solution

    |

  5. In an examination a student has to answer 4 questions out of 5 ques...

    Text Solution

    |

  6. A group consists of 4 girls and 7 boys. In how many ways can a team...

    Text Solution

    |

  7. A committee of 3 persons is to be constituted from a group of 2 men...

    Text Solution

    |

  8. Find the number of i. diagonals ii. triangles formed in a decagon.

    Text Solution

    |

  9. Determine the number of 5-card combinations out of a deck of 52 car...

    Text Solution

    |

  10. In how many ways can a team of 3 boys and 3 girls be selected from ...

    Text Solution

    |

  11. Find the number of ways of selecting 9 balls from 6 red balls, 5 wh...

    Text Solution

    |

  12. Determine the number of 5 card combinations out of a deck of 52 car...

    Text Solution

    |

  13. In how many ways can one select a cricket team of eleven from 17 playe...

    Text Solution

    |

  14. A bag contains 5 black and 6 red balls. Determine the number of way...

    Text Solution

    |

  15. In how many ways can a student choose a programme of 5 courses if 9...

    Text Solution

    |

  16. A committee of 7 has to be formed from 9 boys and 4 girls. In how m...

    Text Solution

    |

  17. In an examination, a question paper consists of 12 questions divide...

    Text Solution

    |

  18. Out of 7 consonants and 4 vowels. how many words of 3 consonant and 2 ...

    Text Solution

    |

  19. how may four letter words can be formed using het letters of the word ...

    Text Solution

    |

  20. How many words, with or without meaning, can be formed using all th...

    Text Solution

    |