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Math Help - Using combinatorics identities

  1. #1
    Member oldguynewstudent's Avatar
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    Using combinatorics identities

    Again just to make sure I understand what I'm doing:

    What is the sum of the numbers in row 15 (i.e. n=15) of Pascal's triangle?
    (Answer this without computing row 15.)

    2^n = \sum_{k=0}^{n}\left({n\atop k}\right) for all n >= 0.

    So the answer would be 2^{15} correct?
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  2. #2
    MHF Contributor undefined's Avatar
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    Quote Originally Posted by oldguynewstudent View Post
    Again just to make sure I understand what I'm doing:

    What is the sum of the numbers in row 15 (i.e. n=15) of Pascal's triangle?
    (Answer this without computing row 15.)

    2^n = \sum_{k=0}^{n}\left({n\atop k}\right) for all n >= 0.

    So the answer would be 2^{15} correct?
    Correct! And don't forget the first row is row 0.
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