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If repeats are allowed, we can use any of the 6 digits in any of the 5 positions. This means we have 5 choices each with 6 options.

65 = 7776.

They fall in the form:

111111

111112

111113

111114

111115

111116

111121

...

666665

666666

If repeats are not allowed, we must choose which number to exclude (6 choices) and then arrange the remaining 5 (5 * 4 * 3 * 2 * 1 = 120 choices).

6 * 120 = 720.

These fall in this sort of pattern:

12345

12346

12356

12456

13456

23456

And all permutations of each of those.

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Q: What are all possible codes for 5 digit password using the numbers 1 2 3 4 5 6?
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