Five-Digit Codes, No Repeats

This is an ordered selection without replacement from ten digits.

Multiply the number of choices for each successive position.

1. 1. Count ordered selections

   There are $10$ choices for the first digit, $9$ for the second, and so on for $5$ positions.

   $$10\times 9\times 8\times 7\times 6=30240$$

Answer: 30240