How many combinations do you get when you have three letters and three numbers?

Answer 1

720 is the number of ways to combine three known letters and three known numbers.

For example, the letters A, B & C and the numbers 1, 2 & 3. The total combinations of these 6 characters is:

(6 options)*(5 options)*(4)*(3)*(2)*(1) = 720.

However, if the three numbers and three letters are unknown and any number or letter is possible, and repeated numbers or letters are acceptable (such as with a license plate), then the total possibilities for each "space" are multiplied together:

(26 possibilities)*(26 possibilities)*(26 possibilities)*(10 possibilities)*(10 " ")*(10 " ") = 17,576,000 combinations.

That is, there are 26 letters in the alphabet and 10 numbers (0 thru 9).

This is assuming that three of the six spaces spaces are reserved for letters and three spaces are reservedfor numbers.

If the combination can be any three letters and any three numbers where different combinations are made by changing whether each space contains a number or a letter, then the answer becomes a product and sum of different choose functions and is much more complicated...