Home
Class 11
MATHS
A test consists of 10 multiple choice ...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
(i) ` 4^(10)`
(ii) ` 3^(4) xx 5^(6)`
(iii) 11
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise EXERCISE 4.3|28 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.4|15 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

Find the total number of ways of answering five objective type questions, each question having four choices

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected, if the team has (i) no girls (ii) atleast one boy and one girl (iii) at least three girls

An examination consists of 10 multiple choice questions, where each question has 4 options, only one of which is correct. In every question, a candidate earns 3 marks for choosing the correct opion, and -1 for choosing a wrong option. Assume that a candidate answers all questions by choosing exactly one option for each. Then find the number of distinct combinations of anwers which can earn the candidate a score from the set {15, 16,17,18, 19, 20}.

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

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -Exercise 4.2
  1. If .^(n-1) P(3) : P(4) = 1 , 10 find n.

    Text Solution

    |

  2. IF .^(10) P(r-1) = 2xx 6P(r) find r

    Text Solution

    |

  3. (i) Suppose 8 people enter an event in a swimming meet. In how m...

    Text Solution

    |

  4. Determine the number of permutations of the letters of the word SIMPL...

    Text Solution

    |

  5. A test consists of 10 multiple choice questions . In how many ways ...

    Text Solution

    |

  6. A student appears in an objective test which contain 5 multiple choi...

    Text Solution

    |

  7. How many strings can be formed from the letters of the word ARTICLE,...

    Text Solution

    |

  8. 8 woman and 6 man are standing in a line. (i) How many arrangement...

    Text Solution

    |

  9. Find the distinct permutations of the letters or the word MISSISSIPP...

    Text Solution

    |

  10. How many ways can the product a^(2) b^(3) c^(4) be expressed witho...

    Text Solution

    |

  11. In how many ways 4 mathematics books , 3 physics books, 2 chemistry...

    Text Solution

    |

  12. In how many ways can the letters of the word SUCCESS be arranged ...

    Text Solution

    |

  13. A coin is tossed 8 times. (i) How many different sequences of ...

    Text Solution

    |

  14. How many strings are there using the letters of the word INTERMEDIAT...

    Text Solution

    |

  15. Each of the digits 1,1,2,3,3 and 4 is written on separate card. The ...

    Text Solution

    |

  16. If the letters of the word GARDEN are permuted in all possible ways ...

    Text Solution

    |

  17. Find the number of strings that can be made using all letters of th...

    Text Solution

    |

  18. if the letters of the word FUNNY are permuted in all possible ways a...

    Text Solution

    |

  19. Find the sum of all 4-digit numbers that can be formed using digits 1,...

    Text Solution

    |

  20. Find the sum of all 4-digit numbers that can be formed using digits...

    Text Solution

    |