Home
Class 12
MATHS
A student is to answer 10 out of 13 ques...

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

140

B

196

C

280

D

346

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|65 Videos

  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

There are 10 true or false questions in an examination. Number of ways of answering these 10 questions which are marked either T or F is

A test consists of 10 multiple choice questions . In how many ways can the test be answered if (i) Each question has four choices ? (ii) The first four questions have three choices and the remaining have five choices ? (iii) Question number n has n + 1 choices ?

A candidate is required to answer 6 questions out of 10 questions given in two parts having 5 questions each. He is not permitted to answer more than 4 questions from either part. In how many ways can he choose the questions.

In an examination a student has a answer 5 questions, out of 9 questions in which 2 are compulsory . In how many ways a student can answer the questions ?

A candidate is required to answer 7 questions out of 12 questions, which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from each group. Number of ways choosing 7 questions is

In a class of 10 student, probability of exactly I students passing an examination is directly proportional to i^(2). Then answer the following questions: The probability that exactly 5 students passing an examination is

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Rank of the word " MOTHER " is

    Text Solution

    |

  2. Six X's have to be placed in the squares of the figure below, such tha...

    Text Solution

    |

  3. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  4. The value of sum(n=1)^(oo)(""^(n)C(0)+.......+""^(n)C(n))/(""^(n)P(n))

    Text Solution

    |

  5. Evaluate the following: ""^(20)C(1)=

    Text Solution

    |

  6. The number of triangles which can be formed by using the vertices of a...

    Text Solution

    |

  7. Evaluate the following: ""^(15)C(2)=

    Text Solution

    |

  8. The number of ways in which 21 objects can be grouped into three group...

    Text Solution

    |

  9. Evaluate the following: ""^(105)C(0)=

    Text Solution

    |

  10. Evaluate the following: ""^(10)C(3)=

    Text Solution

    |

  11. The number of permutations of the letters of the word 'CONSEQUENCE' in...

    Text Solution

    |

  12. If n = 5, then (""^(n)C(0))^(2)+(""^(n)C(1))^(2)+(""^(n)C(2))^(2)+.......

    Text Solution

    |

  13. Let n be a natural number. Then the range of the function f(n)=""^(8...

    Text Solution

    |

  14. The number of ways in which 5 ladies and 7 gentlemen can be seated in ...

    Text Solution

    |

  15. The number of four-letter words that can be formed (the words need not...

    Text Solution

    |

  16. All the words that can be formed using alphabets A, H, L, U, R are wri...

    Text Solution

    |

  17. The value of (""^(7)C(0)+""^(7)C(1))+(""^(7)C(1)+""^(7)C(2))+...+(""^(...

    Text Solution

    |

  18. Total number of four digit odd numbers that can be formed using 0, 1, ...

    Text Solution

    |

  19. Evaluate the following: ""^(10)C(9)=

    Text Solution

    |

  20. The number of positive integers less than 40,000 that can be formed by...

    Text Solution

    |