From layman approach, How can one calculate the possible two letter words from this 26 English letters?


*

There room 26 selections for the an initial letter. Because that every selection of very first letter there are 26 options for the 2nd letter. Therefore there space 26 time 26 of lock in total, or 676.

You are watching: How many two letter combinations are there


*

I"m assuming we"re not talking around which ones space actual words.

There are 26 possibilities because that the very first letter and also 26 for the second. Main point them and also you get 676 total feasible "words" (but this includes things like ZQ and XT.)

If you want actual words, this site claims there room 96 in the OSPD4, the Scrabble dictionary.

And if you want a better estimate, there room 6 vowels and 20 consonants (counting Y as a vowel). They deserve to go in either order (so we have the right to have words prefer OF). 6 times 20 times 2 is 240 possible words.


*

$$\beginarrayc\textalphabetical order: & aa & ba & ca & da & ea & fa & \cdots \\& abdominal & bb & cb & db & eb & fb & \cdots \\& ac & bc & cc & dc & ec & fc & \cdots \\& ad & bd & cd & dd & ed & fd & \cdots \\& ae & it is in & ce & de & ee & fe & \cdots \\& af & bf & cf & df & ef & ff & \cdots \\& ag & bg & cg & dg & eg & fg & \cdots \\& \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \endarray$$26 columns; 26 in every column.


*

More usually the formula is:

$x^y$

where $x$ is the number of items in the collection (26 feasible letters in this case), and also $y$ is the number of occurrences that that set of items (series that 2 letters in this case).

So,

1 letter (A) = $26^1 = 26$

2 letter (AA) = $26^2 = 26*26 = 676$

3 letters (AAA) = $26^3 = 26 * 26 * 26 = 17,576$

4 letters (AAAA) = $26^4 = 26 * 26 * 26 * 26 = 456,976$

etc.


*

Thanks for contributing solution to civicpride-kusatsu.netematics stack Exchange!

Please be sure to answer the question. Administer details and share your research!

But avoid

Asking because that help, clarification, or responding to other answers.Making statements based on opinion; ago them up with references or personal experience.

Use civicpride-kusatsu.netJax to format equations. Civicpride-kusatsu.netJax reference.

See more: How To Delete Pokemon Platinum Save, How To Restart Pokémon Platinum

To learn more, view our advice on writing great answers.


write-up Your price Discard

By click “Post her Answer”, girlfriend agree to our regards to service, privacy policy and cookie plan


Not the price you're looking for? Browse other questions tagged combinatorics permutations combine or asking your very own question.


How plenty of distinct n-letter "words" deserve to be created from a collection of k letters where some of the letters are repeated?
How numerous 5 letter words can be developed from the word management if 2 alike letters are constantly together
How many distinct four-letter words beginning with A can be developed from letters with two comparable letters and two various letters?