Chapter 13.2, Problem 4AYU

A(n) ___________ is an arrangement of $r$ objects chosen from $n$ distinct objects, without repetition and without regard to order.

To determine

To write: What is the term used to call the arrangement of $r$ objects chosen from $n$ distinct objects, without repetition and without regard to order.

Answer to Problem 4AYU

Combination.

Explanation of Solution

Given:

Arrangement of $r$ objects chosen from $n$ distinct objects, without repetition and without regard to order.

Calculation:

A combination is an arrangement, without regard to order, of $r$ objects selected from $n$ distinct objects without repetition, where $r\le n$.

The notation $C\left(n,r\right)$ represents the number of combinations of $n$ distinct objects using $r$ of them.