If the sequence of the digits is important ... 1-2-3 and 3-2-1 are different ...
then there are 10*9*8 = 720 of them.
If the sequence doesn't matter ... 1-2-3 and 2-3-1 and 3-1-2 are all the same ...
then there are only 720/6 = 120 because 3 things can be ordered 1*2*3 = 6 ways.
6
10 to the third assuming zero is included and can lead, otherwise 9 to the third, ie 729. This all assumes that you are talking about 3-digit numbers. * * * * * No. That may be the number of permutations but those are different from combinations. In a combiation, the order of the digits does not matter so that 123 is the same as 132 or 213 etc. With repetition, there are 210 COMBINATIONS, including one that is {0,0,0}.
Only one.
The answer is 10C3 = 10*9*8/(3*2*1) = 120 combinations.
10
If the 6 digits can be repeated, there are 1296 different combinations. If you cannot repeat digits in the combination there are 360 different combinations. * * * * * No. That is the number of PERMUTATIONS, not COMBINATIONS. If you have 6 different digits, you can make only 15 4-digit combinations from them.
If you allow digits to be repeated (for example, 222 or 992), then there are 9 x 9 x 9 = 729 combinations. If you do not allow digits to be repeated, then there are 9 x 8 x 7 = 504 combinations.
If no digit can be repeated then there are 5 combinations, abcd, abce, abde, acde and bcde. If you regard abdc as different from abcd then each of the 5 basic sets could be arranged 24 ways and the total would be 120 combinations.
9
45
10,000.
5040, assuming none of the digits are the same. (Assuming they're not, there's 5040 unique combinations you can make out of 7 digits).
104 = 10000 if digits can be repeated, 5040 if not. The above answers assume a code can start with a 0. If not, 9000 if digits can be repeated and 4536 if not.
45 In combinations, the order of the digits does not matter so that 12 and 21 are considered the same.
6
10 to the third assuming zero is included and can lead, otherwise 9 to the third, ie 729. This all assumes that you are talking about 3-digit numbers. * * * * * No. That may be the number of permutations but those are different from combinations. In a combiation, the order of the digits does not matter so that 123 is the same as 132 or 213 etc. With repetition, there are 210 COMBINATIONS, including one that is {0,0,0}.
Only one.