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Math Help - Item distribution

  1. #1
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    Question Item distribution

    In this question, order means order in time
    A teacher has 5 chocolates, 4 lollies and 3 licorice sticks to distribute to a class of 14
    pupils. No pupil may get more than one item, and all the items must be given out. The
    chocolates are all alike, as are the lollies and the licorice sticks.

    (a) In how many ways can the items be distributed amongst the class (without
    regard to the order in which this is done)?

    (b) In how many ways can the items be distributed amongst the class, taking into
    account the order in which this is done?

    (c) If the items are distributed at random, what is the probability that John, Joe
    and Jim will get the same item whilst Jenny gets a chocolate?

    Please please can anyone help?
    Last edited by nhatdisk; March 27th 2012 at 08:14 AM.
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