Question

Solve using Matlab three problems:

One problem using the combination formula

One problem using the permutation of n objects formula

One problem using the permutation of r objects out of n objects formula

- please make up three different questions for the three different commands

- screenshots of everything on Matlab is needed

Answer 1

Sol:

MAT LAB Code

% Clears variables and screen
clear; clc

% Asks user for input
n = input('Total number of objects: ');
r = input('Size of subgroup: ');

% Computes and displays permutation according to basic formulas
p = 1;
for i = n - r + 1 : n
p = p*i;
end
str1 = [num2str(p) ' permutations'];
disp(str1)

% Computes and displays combinations according to basic formulas
str2 = [num2str(p/factorial(r)) ' combinations'];
disp(str2)

Example:

How many permutations and combinations can be made of the 15 alphabets, taking four at a time?

The answer is:

32760 permutations
1365 combinations