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17,576 possible combinations

* * * * *

Not quite! This is the total number of permutations of 3 letters out of 26. AAB is counted as being different from ABA or BAA. But these are the same combinations.

Thus there are 26 combinations of just one letter.

26*25 combinations of two letters and

26*25*24/(3*2*1) of three.

In all, that makes 26 + 650 + 2600 = 3276

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Q: How many 3 letter combinations?

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The answer is 10C3 = 10*9*8/(3*2*1) = 120 combinations.

4*3*2*1 = 24 different combinations.

Just 4: 123, 124, 134 and 234. The order of the numbers does not matter with combinations. If it does, then they are permutations, not combinations.

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As there are 26 letters in the alphabet. You can calculate the number of combinations by multiplying 26x26x26, giving you the answer 17576.

Related questions

6

You did not give us the set to work with...

There are: 35C3 = 6545 combinations

27^27

3,124,550 possible combinations

There are 6C3 = 20 such combinations.

There are 5C3 = 10 combinations.

233 = 18 combinations.

Assuming you can have duplicate letters such as AAA, AAB etc... there are 26 x 26 x 26 combinations - which is a total of 17,576 permutations !

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