Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, Excel in Microsoft 365, and 2021. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Calculating Combinations.

Calculating Combinations

Written by Allen Wyatt (last updated April 30, 2022)
This tip applies to Excel 2007, 2010, 2013, 2016, 2019, Excel in Microsoft 365, and 2021


Have you ever wondered how many different four-character combinations you can make when you start with 26 letters and 10 digits? Excel can tell you in a flash, if you use the COMBIN worksheet function. The syntax of the function is as follows:

=COMBIN(universe, sets)

In this syntax, universe represents the number of items from which the combinations can be made, and sets represents the number that must be in each combination. Thus, you could use the following to determine the number of four-character combinations that you can make from the alphabet (26 letters) and the ten digits:

=COMBIN(26+10,4)

Just for those who are curious, the answer returned is 58,905.

In understanding whether the COMBIN function is best for your purposes, it is important to understand that the function returns a value that doesn't consider the ordering of the combinations. Thus, it considers "abcd", "bcda", "cdab", and "dabc" to all be a single combination. If you want them to be considered differently, then you should rely on the PERMUT function, which uses the same syntax as the COMBIN function. Using it with the same arguments discussed earlier indicates that there are 1,413,720 four-character combinations (permutations) possible from 36 possible characters where each character can be used only once.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (12202) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, Excel in Microsoft 365, and 2021. You can find a version of this tip for the older menu interface of Excel here: Calculating Combinations.

Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

MORE FROM ALLEN

Determining the Month of the Year

Your macro code may need to determine the month of the year represented by a particular date. You can find the desired ...

Discover More

Changing the Starting Page Number

Word normally numbers pages in a document starting at one and extending as far as the number of pages you have. If you ...

Discover More

Automatically Changing a Cell's Background Color

It is often desired to change what is displayed in a cell based on what is in a different cell. What if what you want to ...

Discover More

Create Custom Apps with VBA! Discover how to extend the capabilities of Office 2013 (Word, Excel, PowerPoint, Outlook, and Access) with VBA programming, using it for writing macros, automating Office applications, and creating custom applications. Check out Mastering VBA for Office 2013 today!

More ExcelTips (ribbon)

Determining the Least Common Multiple

Need to figure out the least common multiple of a range of values? It is a snap when you use the LCM function, described ...

Discover More

Returning the MODE of a Range

The MODE function is used to determine the most frequently recurring value in a range. This tip explains how to use the ...

Discover More

Counting with Formulas

When you need to count a number of cells based upon a single criteria, the standard function to use is COUNTIF. This tip ...

Discover More
Subscribe

FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."

View most recent newsletter.

Comments

If you would like to add an image to your comment (not an avatar, but an image to help in making the point of your comment), include the characters [{fig}] (all 7 characters, in the sequence shown) in your comment text. You’ll be prompted to upload your image when you submit the comment. Maximum image size is 6Mpixels. Images larger than 600px wide or 1000px tall will be reduced. Up to three images may be included in a comment. All images are subject to review. Commenting privileges may be curtailed if inappropriate images are posted.

What is 6 - 0?

There are currently no comments for this tip. (Be the first to leave your comment—just use the simple form above!)


This Site

Got a version of Excel that uses the ribbon interface (Excel 2007 or later)? This site is for you! If you use an earlier version of Excel, visit our ExcelTips site focusing on the menu interface.

Newest Tips
Subscribe

FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."

(Your e-mail address is not shared with anyone, ever.)

View the most recent newsletter.