Probability and Statistics > TI 83 for Statistics > TI 83 Permutation Combination

## TI 83 Permutation Combination: Overview

While our free, online Combinations Calculator and Permutations Calculator can solve your combinations and permutation problems in seconds, you can’t take it to a test. A **permutation problem** is one in which a certain number of items are selected in order and that order matters (for example, picking 1st, 2nd, and 3rd prize winners in a raffle). With **combinations**, the order doesn’t matter. For example, you might want to pick 3 people for a work party (see: 5 choose 3 for an example). While doing this by hand is cumbersome (the equation you use involves factorials like n! and r!), the calculator can figure it out at the press of a button. Plus, you can usually take the TI 83 to the test!

## TI 83 Permutation Combination: Steps

### TI 83 Combinations (n! / (n – r!) r!)

Watch the video or read the steps below:

**Sample problem:** If there are 5 people, Barb, Sue, Jan, Jim, and Rob, and only three will be chosen for the new Parent Teacher Association, how many combinations are possible for the committee?

**Step 1:** Enter the number of items on the home screen (the main input area) that you have to choose from. In the above example, you have 5 people, so press 5.

**Step 2:**Press the Math button.

**Step 3:** Use the right arrow key to tab across to “PRB”.

**Step 4:** Press 3. This inserts nCr onto the home screen.

**Step 5:** Enter the number of items you want to choose. In the above example, you want to choose 3, so press 3.

**Step 6:** Press ENTER. The calculator will return the result: **10**.

### TI 83 Permutations (n! / (n – r!))

Watch the video or read the steps below:

**Sample problem:** If there are 5 people, Barb, Sue, Jan, Jim, and Rob, and three will be chosen for the new Parent Teacher Association. The first person picked will be the president, then the vice president, then the secretary. How many permutations are possible for the committee?

**Step 1:** Enter the number of items on the home screen (the main input area) that you have to choose from. In the above example, you have 5 people, so press 5.

**Step 2:** Press the Math button.

**Step 3:** Use the right arrow key to tab across to “PRB”.

**Step 4:** Press 2. This inserts nPr onto the home screen.

**Step 5:** Enter the number of items you want to choose. In the above example, you want to choose 3, so press 3.

**Step 6:** Press ENTER. The calculator will return the result: **60**.

That’s how to find TI 83 Permutation Combination!

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