Use the Binomial Theorem (Theorem 17.8) to prove n 0 ! n 1 ! C n 2 ! n 3 ! C n n ! D 0
Chapter 17, Problem 17.15(choose chapter or problem)
Use the Binomial Theorem (Theorem 17.8) to prove n 0 ! n 1 ! C n 2 ! n 3 ! C n n ! D 0 provided n > 0. Move all the negative terms over to the right-hand side to give n 0 ! C n 2 ! C n 4 ! C D n 1 ! C n 3 ! C n 5 ! C : Give a combinatorial description of what this means and convert it into a combinatorial proof. Use the weirdo method.
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