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    tikki14's Avatar
    tikki14 Posts: 53, Reputation: 2
    Junior Member
     
    #1

    May 17, 2011, 12:06 PM
    Combinations sum
    How to solve this sum of combinations?

    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #2

    May 17, 2011, 03:38 PM

    Look at the sum closely. N is a constant.

    Say we have n=10.

    All terms are 0 up to

    Regardless the value of n, this is true throughout.

    So, the sum is n-1.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
    Senior Member
     
    #3

    May 17, 2011, 09:06 PM
    Comment on galactus's post
    Took me a second before I saw it. You're right; there are exactly zero ways to choose n objects from a set of <n.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
    Senior Member
     
    #4

    May 17, 2011, 09:08 PM
    Comment on galactus's post
    There was a "less than n" at the end of that previous comment, but apparently the interpreter thought my less than symbol was some sort of markup or directive. Either way, nice answer as usual, Galactus.

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