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What's this in math?

  1. Oct 22, 2012 #1
    2cct0d5.png

    in the above pic, (n 0) = 1?? what topic in math is that? i never saw this in my high school math and only saw it in my uni class. i don't know how that is. can someone please help me?
     
  2. jcsd
  3. Oct 22, 2012 #2
    They are binomial coefficients. We define

    [tex]\binom{n}{k}=\frac{n!}{k! (n-k)!}[/tex]

    You have no doubt seen this before in combinatorics, but with other notation. It is a mystery to me why high school textbooks don't use the [itex]\binom{n}{k}[/itex] notation.

    http://en.wikipedia.org/wiki/Binomial_coefficient
     
  4. Oct 22, 2012 #3
    super! and of course i know about binomial coefficients. just like this cf53c9e57be2cdfe572da491e078d9ff.png

    thank you very much. now i'm not scared anymore!! :D
     
  5. Oct 22, 2012 #4

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    It comes from the convention 0!=1.
     
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