MATLAB

The factorial of an integer is defined using the following equation: ! = ( 1) ( 2) 2 1 In combinatorics, permutations is the number of ways of selecting a subset of some elements such that the order matters. For example, there are 6 permutations of letters A, B, and C. A B C, A C B, B A C, B C A, C A B, C B A The permutation of selecting elements from a set of elements can be calculated using the following equation: (, ) = ! ( )! On the other hand, combinations is the number of ways of selecting a subset of some elements such that the order does not matter. The combination of selecting elements from a set of m elements can be calculated using the following equation: (, ) = ( ) = ! ! ( )! Instructions Add a section / cell in your MATLAB m-file script for problem 3 that: Prompts the user to enter integer between 2 and 12 (inclusive) o If the input is invalid, displays an error message and prompt the user to try again, as many times as necessary (use a loop to accomplish this instead of terminating the program) Prompts the user to enter integer between 2 and (inclusive) o If the input is invalid, displays an error message and prompt the user to try again, as many times as necessary (use a loop to accomplish this instead of terminating the program) Determines and displays the following: o ! o (, ) o (, ) This program must use loops to calculate the results DO NOT use any pre-defined MATLAB functions related to factorials, permutations, and/or combinations.