The binomial coefficient (read n choose k) is defined as where the ! is the factorial symbol (i.e. 5! = 5 * 4 * 3 * 2 * 1 = 120) and n and k are non-negative integers with n > k. Write a script that calculates n choose k without using Matlabs built-in factorial function. This will involve multiple loops. You should also include if statements that return an error (for example, disp(Danger Will Robinson!)) if n is less than k, or if either are negative. Using copy and paste, have your loops run once in the scenario where everything works, and once where an error message gets returned.

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