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Q: How many 3 digit codes using the digits 0 9 are possible if repetitions are allowed?

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103 = 1000 in all.

1,000 of them. The list of possibilities will look exactly like the counting numbers from 000 to 999 .

As far as I can tell, all 5 digit numbers are potential zip codes, so there are 99999 + 1 potential zip codes, or 100,000. Many of these are not actually is use.

If you include 0000, ten thousand unique four digit codes are possible.

The number of 4 digit codes, using different digits, is 10*9*8*7 = 5040. However, computer passwords can, usually, have repeated digits and, if that is allowed, you can have 104 = 10000 codes.

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10,000

103 = 1000 in all.

1000

1,000 of them. The list of possibilities will look exactly like the counting numbers from 000 to 999 .

As far as I can tell, all 5 digit numbers are potential zip codes, so there are 99999 + 1 potential zip codes, or 100,000. Many of these are not actually is use.

If you include 0000, ten thousand unique four digit codes are possible.

The number of 4 digit codes, using different digits, is 10*9*8*7 = 5040. However, computer passwords can, usually, have repeated digits and, if that is allowed, you can have 104 = 10000 codes.

8 digits.

Self complimentary codes are codes which after certain number of digits extends itself by taking the compliment of the previous digits.

100,000 - Every number from 00000 to 99999.

10*9*8*7*6=30,240

If the digits can be any number from 0 to 9 and there are no restrictions on a number being used more than once then you have 10 choices for each digit and 26 choices for the letter. The total number of possible codes is 10 x 10 x 10 x 10 x 10 x 26 = 2600000