Home
Class 12
MATHS
A students is to answer 10 out of 13 que...

A students is to answer 10 out of 13 questions in an examminations such that he must choose at least 4 from the first five questions. Find the numbers of choices available to him.

A

140

B

196

C

280

D

346

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

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

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

There are three sections in a question paper, each containing 5 questions. A candidate has to solve any 5 questions, choosing at least one from each section. Find the number of ways in which the candidate can choose the questions.

There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three he 2 each?

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.

There are 6 multiple choice questions in an examination. How many sequence of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?

A student has to answer 10 questions, choosing at least 4 from each of part A and B. If there are 6 questions in part A and 7 in part B. In how many ways can the student choose 10 questions?

In a class of 25 students with roll numbers 1 to 25 , a students is pecked up at random to answer a question .Find students with roll numbers 1 to 25 , a student is picked up at random to answer a question . Find the probability that roll number of the selected students is either a multiple of 5 or 7.

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

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-LEVEL-1
  1. Fifteen identical balls have to be our in five different boxes. Eac...

    Text Solution

    |

  2. The number of ways of selecting atleast 4 candidates from 8 candidates...

    Text Solution

    |

  3. A students is to answer 10 out of 13 questions in an examminations suc...

    Text Solution

    |

  4. Find the number of (i) combinations. (ii) permutations of four lette...

    Text Solution

    |

  5. Find the number of ways in which (a) a selection ,(b) an arrangement ...

    Text Solution

    |

  6. The number of selections of four letters from the letters of the word'...

    Text Solution

    |

  7. The number of selections of four letters from the letters of the word'...

    Text Solution

    |

  8. The number of words of four letters that can be formed from the let...

    Text Solution

    |

  9. The total number of flags with three horizontal strips in order, whi...

    Text Solution

    |

  10. A bag contains 2 Apples, 3 Oranges and 4 Bananas. The number of ways i...

    Text Solution

    |

  11. How many words can be formed by taking four different letters of the w...

    Text Solution

    |

  12. A shopkeeper sells three varieties of perfumes and he has a large numb...

    Text Solution

    |

  13. There are m copies each ofn different books in a university library. T...

    Text Solution

    |

  14. If a(1),a(2),a(3), . . . .,a(n+1) be (n+1) different prime numbers, t...

    Text Solution

    |

  15. The total number of factors (excluding 1) of 2160 is

    Text Solution

    |

  16. A library has n different books and has p copies of each of the book. ...

    Text Solution

    |

  17. Find the number of ways of selecting 4 English, 3 Telugu and 2 Hindi b...

    Text Solution

    |

  18. The number of positive odd divisors of 216 is:

    Text Solution

    |

  19. Find the number of odd proper divisors of 3^pxx6^mxx21^ndot

    Text Solution

    |

  20. Let 1 le m lt n le p. The number of subsets o the set A={1,2,3, . . .P...

    Text Solution

    |