Results 1 to 2 of 2

Math Help - Combinatorial Probability

  1. #1
    Member
    Joined
    Dec 2009
    Posts
    226

    Combinatorial Probability

    I have a question about one of the parts of an exercise in a text on Probability and Statistics, particularly why the answer to (b) is 16!.

    Exercise 1-11 An engineering faculty shuffles the quizzes of his 17 students and redistributes them randomly for peer grading.

    (a) In how many different ways may the quizzes be handed out?
    (b) In how many ways may Kendra, one of the 17 students, be assigned her own quiz for grading?
    (c) What is the probability that Kendra will receive her own quiz?

    (a) The different ways 17 quizzes may be handed out to 17 students is simply the number of distinct ways of rearranging all 17 quizzes, or _{17}P_{17} = 17!.

    (b) The solutions manual says the answer is 16! but I don't know why it isn't _{17}P_{1}.

    (c) I know it's the answer to (a) divided by the answer to (b), but I don't know why the answer to (b) is 16!.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,649
    Thanks
    1597
    Awards
    1
    If I give you your own quiz, then how many can I pass out the other quizzes?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Combinatorial Probability
    Posted in the Statistics Forum
    Replies: 7
    Last Post: December 7th 2011, 03:32 PM
  2. Combinatorial probability.
    Posted in the Advanced Statistics Forum
    Replies: 8
    Last Post: November 11th 2011, 02:07 PM
  3. Combinatorial Probability
    Posted in the Statistics Forum
    Replies: 9
    Last Post: January 22nd 2011, 02:22 PM
  4. Combinatorial Probability
    Posted in the Statistics Forum
    Replies: 1
    Last Post: October 11th 2010, 07:55 PM
  5. Probability - Combinatorial
    Posted in the Statistics Forum
    Replies: 5
    Last Post: August 15th 2009, 07:26 AM

Search Tags


/mathhelpforum @mathhelpforum