On a bike lock there are three tumblers where the digits 0, 1, 2, ..., 9 appear on each tumbler. A lock is going to be a three digit code (where numbers can be repeated). Find the number of possible codes for the lock.

Answer: 1000

Step-by-step explanation:

The number of combinations is equal to the product of the number of options for each tumbler.

Each tumbler has 10 possible numbers, and we have 3 tumblers, then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

We have 1000 possible codes for the lock.