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    finite12's Avatar
    finite12 Posts: 1, Reputation: 1
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    #1

    Sep 10, 2012, 09:15 PM
    Assue a student has 13 writing utensils, 7 pencils, 4 ballpoint pens, and 2 felt pens
    Assue a student has 13 writing utensils, 7 pencils, 4 ballpoint pens, and 2 felt pens how many ways can the student choose 9 untensils if at most one ballpoint pen is used?
    chinninani's Avatar
    chinninani Posts: 13, Reputation: 1
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    #2

    Sep 11, 2012, 07:10 AM
    he has 13 utensils and he has to use 9 utensils and also one ball pen . So he has
    13.12.11.4.3.2.1=51184
    chinninani's Avatar
    chinninani Posts: 13, Reputation: 1
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    #3

    Sep 11, 2012, 07:13 AM
    41184
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Sep 11, 2012, 10:42 AM
    how many ways can the student choose 9 untensils if at most one ballpoint pen is used?
    This means you can have 9 utensils other than ballpoint pens (you pick 9 from the 7 pencils and 2 felt pens) OR 8 utensils other than ballpoint pens and one ballpoint pen from the 4 available.

    This doesn't give 41184.


    Also, there can't be that much ways, since order is not important here. Taking a blue pencil and a red pencil is the same as a red pencil and a blue pencil.
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