Definition The binomial coefficient n k (read n choose k) is defined as

n k = n! /(n k)! k!

where the ! is the factorial symbol (e.g. 5! = 5 * 4 * 3 * 2 * 1 = 120) and n and k are non-negative integers with n > k.

(a) Write a script that calculates n choose k without using Matlabs built-in factorial function. This will involve multiple loops. - Your script should include if-statements that return an error (for example, disp(Danger Will Robinson!)) if n is less than k OR if either n or k is negative.

(b) Divide your script into three sections using the command %%. Copy and paste your script into each section and run the scripts (i) once in the scenario where everything works, (ii) once where n APPM 2460 Homework Week 3 Submit a published pdf of your script solving the following problem to Canvas by Monday, February 3 at 11:59 p.m. See the 2460 webpage for formatting guidelines. Definition The binomial coefficient (read "n choose k) is defined as (%) = (n =%23% HE n! (n - k)!k! where the ! is the factorial symbol (e.g. 5! = 5 * 4 * 3*2*1 = 120) and n and k are non-negative integers with n > k. (a) Write a script that calculates n choose k without using Matlab's built-in factorial function. This will involve multiple loops. - Your script should include if-statements that return an error (for example, disp('Danger Will Robinson!')) if n is less than k OR if either n or k is negative. (b) Divide your script into three sections using the command %%. Copy and paste your script into each section and run the scripts (i) once in the scenario where everything works, (ii) once where n