Ordered Combinations

## Description

Ordered combinations are when you choose $k$ objects from $n$ objects and these objects have an ordering to them. The number of ordered combinations is

(1)\begin{align} \binom{n}{k}k!. \end{align}

The sage cell below calculates the number of ordered combinations when $n=10$ and $k=5$.

## Sage Cell

#### Code

```
n=10
k=5
binomial(n,k)*factorial(k)
```

## Options

#### Option

None

## Tags

Primary Tags: Combinatorics

Secondary Tags: Combinations

A list of possible tags can be found at The WeBWorK Open Problem Library. For linear algebra tags see the Curated Courses Project.

## Related Cells

## Attribute

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Date: 02 Oct 2018 06:40

Submitted by: James A Phillips