Chapter 12.6, Problem 9LC

To determine

To show: how permutation and combination are similar and different.

Explanation of Solution

Given information:

Permutation and Combination.

Solution:

The difference between Combination and Permutations.

Combination	Permutation
A combination is a selection of objects without regard to order.	A permutation is an arrangement of objects in a specific order.
The expression $C{}_r$ represents the number of combination of $n$ objects chosen $r$ at a time. $C{}_r=\frac{n!}{r!\left(n-r\right)!}$	The expression $P{}_r$ represents the number of permutations of $n$ objects arranged $r$ at a time. $P{}_r=\frac{n!}{\left(n-r\right)!}$

The similarity is both are mathematical concepts.