Home
Class 12
MATHS
A student has to answer 10 out of 13 que...

A student has to answer 10 out of 13 questions in an examination. The number of ways in which he can answer if he must answer atleast 3 of the first five questions is `276` b. `267` c. `80` d. `1200`

A

276

B

`""^(13)C_(10)-""^(5)C_(3)`

C

`""^(5)C_(3).""^(8)C_(7)+""^(5)C_(4).""^(8)C_(6)+""^(5)C_(5).""^(8)C_(5)`

D

`""^(13)C_(10)-""^(5)C_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section D Linked Comprehension Type Questions|12 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section E (Assertion-Reason Type Questions)|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section B Objective type questions (One option is correct )|39 Videos
  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

Similar Questions

Explore conceptually related problems

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions.The number of choices available to him is

A student is to answer 10 out of 13 questions in an examination such that the he must choose t least 4 from the first five questions. The number of choices available to him are (A) 346 (B) 140 (C) 196 (D) 280

There are 10 true-false questions in an examination.Then these questions can be answered in

A question paper has 5 questions.Each question has an alternative.The number of ways in which a student can attempt atleast one question is:

A student is to answer 8 out of 10 questions in an examination.(i) How many choice has he? (ii) How many if he must answer the first three quesions? (iii) How many if he must answer at least four of the first five questions?

In an examination a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory.Determine the number f ways n which the student can make the choice.

AAKASH INSTITUTE-PERMUTATIONS AND COMBINATIONS -Assignment Section C Objective type questions (One option is correct )
  1. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  2. the results of 11 chess matches (as win , lose or draw ) are to be fo...

    Text Solution

    |

  3. A student has to answer 10 out of 13 questions in an examination. T...

    Text Solution

    |

  4. Let N denote the number of ways in which n boys can be arranged in a l...

    Text Solution

    |

  5. The kindergarten teacher has 25 kid in her class. She takes 5 of them ...

    Text Solution

    |

  6. The number of ways in which 20 girls be seated round a table if there ...

    Text Solution

    |

  7. The number of non-negative integral solution x1 + x2 + x3 + x4 <=n (wh...

    Text Solution

    |

  8. If N is the number of positive integral solutions of x1x2x3x4 = 770, t...

    Text Solution

    |

  9. There are n white and n black balls marked 1, 2, 3,…..,n. The number o...

    Text Solution

    |

  10. There are 15 bulbs in a room. Each one of them can be operated indepen...

    Text Solution

    |

  11. The number of ways in which 5 distinct toys can be distributed among 8...

    Text Solution

    |

  12. The number of six digit numbers that can be formed from the digits 1,2...

    Text Solution

    |

  13. Find the number of integers which lie between 1 and 10^6 and which hav...

    Text Solution

    |

  14. sum(r=0)^(m) ""^(n+r)C(n) is equal to

    Text Solution

    |

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

    Text Solution

    |

  16. If m parallel lines in a plane are intersected by a family of n par...

    Text Solution

    |

  17. There are n straight lines in a plane in which no two are parallel and...

    Text Solution

    |