Home
Class 12
MATHS
A candidate is required to answer 6 o...

A candidate is required to answer 6 out of 10 questions which are divied into two groups each containing 5 questions and he is not permitted to attempt more than 4 from any group .in how many different ways can he make up his choice ?

A

`""^(5)C_(4)xx""^(5)C_(2) +""^(5)C_(3) xx""^(5)C_(3)+""^(5)C_(2) xx ""^(5)C_(4)`

B

`""^(5)C_(3)xx""^(5)C_(3)+""^(5)C_(2)xx""^(5)C_(4)+""^(5)C_(3)xx""^(5)C_(2)`

C

`""^(5)C_(3)xx""^(5)C_(2)+""^(5)C_(4)xx""^(5)C_(2)+""^(5)C_(1)xx""^(5)C_(3)`

D

`""^(5)C_(2)xx""^(5)C_(3)+""^(5)C_(3)xx""^(5)C_(2)+""^(5)C_(4)xx""^(5)C_(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -2|5 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (PERMUTATIONS )|199 Videos

  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

Similar Questions

Explore conceptually related problems

A candiate is required to answer 7 questions out of 12 questions which are divied into two groups each containg 6 questions He is not permitted to attempt more than 5 questions from either group .In how many different ways he can choose the 7 question ?

A candidate is required to answer 6 out of 10 questions which are divided into two groups A and B each containing 5 questions. He is not permitted to attepmpt more than 4 questions from either group. Find the nuumber of different ways in which the candidate can choose six questions.

A candidate is required to answer 6 questions by choosing at least one question from each section, where 1st section consists of 4 questions, 2 nd section consists of 3 questions and 3 rd section consists of 2 questions. In how many ways can he make up us choice?.

A candidate is required to answer 6 question at least one question from each section , where 1st section consists of 5 questions , 2nd section consits of 3 question and 3rd section consists of 2 question . In how many ways can he make up his choice ?

A candidate is required to anwer 6 questions by choosing atleast one question from each section where 1^(st) section consists of 4 questions, 2^(nd) section consists of 3 questions and 3^(rd) section consists of 2 questions. The number of ways can he make up his choice is

In how many ways 40 students of a class can be divided into two equal groups such that the tallest and shortest do not belong to the same group

Write any two properties which are decreased from top to bottom in a group ?

a man has 4 friends , in how many ways can he inivite one or more them to dinner ?

A triglyceride can have how many different acyl groups ?

DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. In how many can 4 scholarships be distributed among 6 M.P.C .,...

    Text Solution

    |

  2. A student has to answer 10 out of 13 questions in an examinatio...

    Text Solution

    |

  3. A candidate is required to answer 6 out of 10 questions which a...

    Text Solution

    |

  4. A candiate is required to answer 7 questions out of 12 questio...

    Text Solution

    |

  5. A candidate is required to answer 6 question at least one questio...

    Text Solution

    |

  6. A candidate is required to answer 6 questions by choosing at least one...

    Text Solution

    |

  7. How many combinations can be formed out of 8 counters marked 1,2...

    Text Solution

    |

  8. a man has 7 relatives , 4 women and 3 men . His wife also ha...

    Text Solution

    |

  9. The number of ways that a committee consisting of 5 men and 3 ...

    Text Solution

    |

  10. A committee of 6 is chosen from 10 men and 7 and women so as c...

    Text Solution

    |

  11. A party of 6 is to the formed from 10 boys and 7 girls so as ...

    Text Solution

    |

  12. The number of ways of selecting 4 cards of an ordinary pack of ...

    Text Solution

    |

  13. The number of ways that a mixed doubles tennis game can be arra...

    Text Solution

    |

  14. The number of ways of dividingg 15 men and 15 women into 15 co...

    Text Solution

    |

  15. A bag contains n white and n black balls . Pairs of balls are ...

    Text Solution

    |

  16. The total number of ways of arranging the letters of the word IND...

    Text Solution

    |

  17. Every body in a room shakes with every body clse . The total ...

    Text Solution

    |

  18. On the occasion of Dipawali festival each student of a class s...

    Text Solution

    |

  19. If 36 games were played at a chess tournament with each conte...

    Text Solution

    |

  20. In chess championship 153 games have been played . If a player ...

    Text Solution

    |