Results 1 to 3 of 3

Thread: Binomial Coefficients

  1. April 16th 2008, 06:55 AM #1
    r_maths
    r_maths is offline
    Member
    Joined
    Jan 2007
    Posts
    162

    Binomial Coefficients

    Follow Math Help Forum on Facebook and Google+
  2. April 16th 2008, 07:04 AM #2
    Isomorphism
    Isomorphism is offline
    Lord of certain Rings
    Isomorphism's Avatar
    Joined
    Dec 2007
    From
    IISc, Bangalore
    Posts
    1,460
    Note that (n-2)(n-3).......1 = (n-2)!

    Now consider \frac{n!}{2!(n-2)!}

    = \frac{n(n-1)(n-2)(n-3).......1}{2!(n-2)!}

    = \frac{n(n-1)[(n-2)(n-3).......1]}{2!(n-2)!}

    = \frac{n(n-1)(n-2)!}{2!(n-2)!}

    = \frac{n(n-1)}{2!}

    = \frac{n(n-1)}{2}
    Follow Math Help Forum on Facebook and Google+
  3. April 16th 2008, 07:04 AM #3
    Plato
    Plato is online now
    MHF Contributor
    Joined
    Aug 2006
    Posts
    16,997
    Thanks
    776
    Awards
    1
    MHF Donor
    \left( n \right)! = (n)(n - 1)\left[ {(n - 2)!} \right]
    Divide out (n-2)!.
    Follow Math Help Forum on Facebook and Google+
« Help with nonlinear systems! | Quadratic Equations! Pls help! »

Similar Math Help Forum Discussions

  1. Binomial Coefficients
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: February 1st 2010, 06:24 PM
  2. Binomial coefficients?
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: April 23rd 2009, 09:00 AM
  3. Binomial coefficients
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 25th 2009, 05:18 PM
  4. Binomial coefficients
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: April 5th 2008, 11:21 AM
  5. Binomial Coefficients
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: July 23rd 2007, 10:47 AM

Search Tags


/mathhelpforum @mathhelpforum