First of all, please verify that n 4 D n.n 1/.n 2/.n 3/=4. We can think of this as a
Chapter 17, Problem 17.35(choose chapter or problem)
First of all, please verify that n 4 D n.n 1/.n 2/.n 3/=4. We can think of this as a polynomial expression and substitute n D 1=2 into the polynomial representation of n 4 (even though this doesnt make sense with the definition of binomial coefficient) to get 1 2 4 ! D 1 2 3 2 5 2 7 2 4 D 105=16 24 D 35 128 : Find a formula for 1=2 k where k is a nonnegative integer.
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