390
392.0 or commonly known as 392
There are the digits 1 through 9 for the first digit. Then, we have 0 through 9 for the second digit - excluding the first digit. For the third digit, we have 0 through 9 excluding the two previous digits
For the first digit, you have 9 options (1-9; the 3-digit number would not start with 0). For the second digit, you also have nine options (any digit from 0-9, except the digit used for the first digit). For this third digit, you have only eight options, since two digits are "forbidden", regardless of what digits you used first. That gives a total of 9 x 9 x 8 combinations.
If the first digit is 9, you have 9 options (0-8) for the second digit. If the first digit is 8, you have 8 options (0-7) for the second digit. Etc. This leaves you with the arithmetic series: 0 + 1 + 2 + 3 + ... + 9.
Let's look at this digit-by-digit: The first digit can be any number 1-9: 9 choices The second digit can be any number 1-9 except the one that the first digit is: 8 choices The third digit can be any number 1-9 except the ones chosen by the first and second digits: 7 choices 9*8*7 = 504 total numbers
If the first digit is 9, you have 9 options (0-8) for the second digit. If the first digit is 8, you have 8 options (0-7) for the second digit. Etc. This leaves you with the arithmetic series: 0 + 1 + 2 + 3 + ... + 9.
The first digit can be any one of 9. (any digit except zero)For each of these . . .The second digit can be any one of 9. (any digit except whatever the first one is)For each of these . . .The third digit can be any one of 8. (any digit except whatever the first 2 are)Total possibilities = 9 x 9 x 8 = 648
There are 9 digits that can be the first digit (1-9); for each of these there is 1 digit that can be the second digit (6); for each of these there are 10 digits that can be the third digit (0-9); for each of these there are 10 digits that can be the fourth digit (0-9). → number of numbers is 9 × 1 × 10 × 10 = 900 such numbers.
About 2.3%.
108
9*106 or 9 million.