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
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.
Taking this bit by bit... For each number there are 10 possibilities so three numbers has 10^3 which is 1000 for each letter there are 26 choices, so for three letters you have 26^3 which is 17576 together there are 17576 * 1000 options which makes 17576000 possible combinations of letters and numbers and I suspect that is what you want. However if the order of the combination is important you must take into account the position of each letter/number and remove duplicate combinations. Good luck with that
As there are 26 letters in the alphabet. You can calculate the number of combinations by multiplying 26x26x26, giving you the answer 17576.
Six combinations: 123, 132, 213, 231, 312, 321
You did not give us the set to work with...
There are: 35C3 = 6545 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 !
27^27
233 = 18 combinations.
There are 5C3 = 10 combinations.
There are 9C3 = 84 combinations.
8
9
4
There are four different groups of three, each of which can be arranged in six different ways so your answer is 24.
4 pitchers * 3 catchers = 12 combinations