Question

Solve using Matlab three problems:

One using the combination formula

One using the permutation of n objects formula

One using the permutation of r objects out of n objects

You can pick these problems from the textbook or you can make up your own questions.

This is the full question

I have to come up with three different problems and solve each ine using each one of these formulas on matlab ( write them on matlab as codes )

Answer 1

% 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)

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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

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