Home
Class 11
MATHS
There are 3 sections in a question paper...

There are 3 sections in a question paper each containing 5 questions. A candidate has to solve only 5 questions, choosing at least one question from each section. In how many ways can he make his choice ?

A

`.^15C_5`

B

`.^3C_1 xx ``.^12C_4`

C

2250

D

2253

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA, ELLIPSE AND HYPERBOLA

    PATHFINDER|Exercise QUESTION BANK|66 Videos

  • PERMUTATION AND COMBINATIONS

    PATHFINDER|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

A question paper contains , which are divided into two groups each containing 5 questions . A candidate is asked to answer 6 questions only ,and to choose at least 2 questions from each group . In how many different ways can the candidate make up his choice ?

A question paper contains 12 questions , divided into three parts . Part A contains 6 questions parts B and C contain 3 questions each A candidate is required to attempt 6 questions , selecting at least 3 questions from part A and at least one from each of the parts B and C In how many ways can the candidate select his 6 questions ?

A question paper contains 12 questions divided into three parts.Parts A contains 6 questions while B and C contains 3 questions each.A candidate is required to attempt 6 questions selecting at least two from part A and atleast one from each of the parts B and C.In how many ways can the candidate select 6 questions?

An examine is required to answer 6 questions out of 12 questions which are divided into two groups each containing 6 questions, and he is not permitted to answer more than 4 questions from any group. In how many ways can be answered 6 questions ?

An examinee is required to answer 6 questions out of 12 question which are divided into two groups each containing 6 questions ,and he is not permitted to answer more than 4 questions from any group . In how many ways can be answer 6 questions ?

In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

In an objective paper, there are two sections of 10 questions each.For "section 1", each question has 5 options and only one optionis correct and "section 2" has 4 options with multiple answers and marks for a question in this section is awarded only if he ticks all correct answers. Marks for each question in "sectionl 1" is 1 and in "section 2" is 3. (There is no negative marking.) If a candidate attempts only two questions by guessing, one from "section 1" and one from "section 2", the probability that he scores in both question is

A question paper on mathematics consists of 12 questions divided into 3 parts A, B and C, each containing 4 questions. In how many ways can an examinee answer 5 questions selecting at least one from each part.

At a certain examination there are 6 question papers on six subjects . In order to pass the examination , a candidate has to secure a minimum of marks in each of the 6 papers . In how many different ways may a candidate fail ?

A candidate is required to answer 6 out of 10 questions, which are divide into two groups, each containing 5 questions. He is not permitted to attempt more than 4 questions from either group. The number of different ways in which the candidate can choose 6 questions is a. 50 b. 150 c. 200 d. 250

PATHFINDER-PERMUTATION AND COMBINATION-QUESTION BANK
  1. Every one of the 10 available lamps can be switched on to illuminate c...

    Text Solution

    |

  2. There are n points in a plane of which no three are in a straight line...

    Text Solution

    |

  3. There are 3 sections in a question paper each containing 5 questions. ...

    Text Solution

    |

  4. Let A and B be two sets consisting of m and n elements respectively (n...

    Text Solution

    |

  5. Ten different letters of an alphabet are given . Word with five letter...

    Text Solution

    |

  6. The value of the expression .^47C4 + sum(j = 1)^5.^(52 - j)C3 is equal...

    Text Solution

    |

  7. In a plane there are 37 straight lines, of which 13 pass through the p...

    Text Solution

    |

  8. A set contains (2n + 1) elements. The number of subsets of the which c...

    Text Solution

    |

  9. The number of even divisors of 10800 is

    Text Solution

    |

  10. Ten persons are arranged in a row . The number of ways of selecting fo...

    Text Solution

    |

  11. The number of solutions of x1 + x2 + x3 = 51 (x1 , x2 , x3 being odd n...

    Text Solution

    |

  12. The number of times of the digits 3 will be written when listing the i...

    Text Solution

    |

  13. Total number of integral solution of the system of equations x1 + x2 +...

    Text Solution

    |

  14. The number of ways of arranging six person (having A, B, C and D among...

    Text Solution

    |

  15. The total number of 5 digit numbers of different digits in which the d...

    Text Solution

    |

  16. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  17. Let A be the set of 4- digit numbers a1a2a3a4 where a1gt a2 gt a3 gt a...

    Text Solution

    |

  18. The number of four digits numbers divisible by 3 that can be formed by...

    Text Solution

    |

  19. Between two junction stations A and B there are 12 intermediate statio...

    Text Solution

    |

  20. A car will hold 2 persons in the front seat and i in the rear seat . I...

    Text Solution

    |