3 decimal digits without repeats can form (10 x 9 x 8) = 720 distinct displays.
For each of these . . .
3 letters without repeats can form (26 x 25 x 24) = 15,600 distinct displays.
Combine them on one plate, and there are (720) x (15,600) = 11,232,000 distinct displays available.
If all letters and numbers are allowed, the possibilities are 26x26x10x10x10x10. So: 6760000 different plates.
There are 676,000 ways to make the license plates.
There are 17,576 possible license plates. There are 26 possible letters in the first space times 26 in the second space times 26 in the third space.
If the identifying information on each license plate consists of (letter-1)(letter-2)(digit-1)(digit-2)(digit-3)(digit-4), and repetition is allowed: letter-1 has 26 choices, and for each one ... letter-2 has 26 choices, and for each one ... digit-1 has 10 choices, and for each one ... digit-2 has 10 choices, and for each one ... digit-3 has 10 choices, and for each one ... digit-4 has 10 choices. Total number of choices = 262 x 104 = ( 26 x 26 x 10 x 10 x 10 x 10 ) = 676 x 10,000 = 6,760,000
I suspect that you want permutations rather than combinations. The permutation ABC is different from ACB, but they are both the same combination. There are 26*26*26*10*10 or 1,757,600 possible permutations of 3 letters followed by 2 numbers. But there are ten ways of arranging 3 letters and 2 numbers: eg LLLNN, LNLNL etc. All in all, therefore, 17,576,000 permutations. However, some letters are not used so as to avoid confusion between letters and numbers: eg 0 and O. Also, some sequences are not used because they form (or suggest) inappropriate words.
If all letters and numbers are allowed, the possibilities are 26x26x10x10x10x10. So: 6760000 different plates.
1757600
How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters?
There are 676,000 ways to make the license plates.
There are 26 possible letters and 10 possible numbers. The number of license plates possible is then 26*26*10*10*10*10 = 6760000.
(26) x (26) x (10,000) = 6,760,000
35,152,000 (assuming that 000 is a valid number, and that no letter combinations are disallowed for offensive connotations.) Also, no letters are disallowed because of possible confusion between letters and numbers eg 0 and O.
263 x 98 (assuming "00" is not used) ie 1,722,448
1x26x26x26x10x10x10=17576000
each of the four numbers have 10 possibilities, and each of the three letters have 26 possibilities. so the total possible ways u can arrange them are 10x10x10x10x26x26x26 this totals up to 175,760,000 different license plate numbers
it 26 to the power 4 and then 99 for the numbers figure that out add the two together
Letters on a license plate are put together on one side, and numbers as well on the other side. So you can say it is a letter O if it is followed by a letter, and it is a zero if it is followed by a number. Moreover, number is smaller, while the letter is more rounded.