1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Summation Proof with Binomial Theorem

  1. May 21, 2007 #1
    Prove the following statement:

    [tex]\[
    \sum\limits_{r + s = t} {\left( { - 1} \right)^r \left( \begin{array}{c}
    n + r - 1 \\
    r \\
    \end{array} \right)} \left( \begin{array}{c}
    m \\
    s \\
    \end{array} \right) = \left( \begin{array}{c}
    m - n \\
    t \\
    \end{array} \right)
    \]
    [/tex]

    Any initial help is appreciated.
     
  2. jcsd
  3. May 26, 2007 #2

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Well, what have you done? What is the definition of, say, m choose s?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook