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Math Help - Number of possible outcomes.

  1. #1
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    Number of possible outcomes.

    There are 8 different toppings that can be put on a pizza. How many ways can the pizza be made? One can have anywhere from no toppings to all 8 toppings.

    Help is appreciated
    Last edited by Iceflash234; October 11th 2010 at 05:49 AM. Reason: typo
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  2. #2
    MHF Contributor harish21's Avatar
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    one way is to draw Pascal's triangle.

    couldn't draw the fig...will attach one
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  3. #3
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    Quote Originally Posted by harish21 View Post
    one way is to draw Pascal's triangle.

    couldn't draw the fig...will attach one
    I didn't think of that. Thanks for the tip!
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  4. #4
    MHF Contributor harish21's Avatar
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    Here's the attachment..

    I did the first five rows of the triangle..your job is to complete all 10 rows..

    the elements of row 10 will add up to the number of possible outcomes.
    Attached Thumbnails Attached Thumbnails Number of possible outcomes.-pascal-s.jpg  
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  5. #5
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    Quote Originally Posted by Iceflash234 View Post
    There are 8 different toppings that can be put on a pizza. How many ways can the pizza be made? One can have anywhere from no toppings to all 8 toppings.

    Help is appreciated
    1 + 8 + 8*7 + 8*7*6 + 8*7*6*5 + ... + 8*7*6*5*4*3*2*1
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