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

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

Answer 1

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

If you have any doubts please comment and please don't dislike.

PLEASE GIVE ME A LIKE. ITS VERY IMPORTANT FOR ME.