Question

1. a bike lock has 6 rollers numbered 0 - 9. how many codes are possible? (numbers can be repeated)

Explanation:

Step1: Identify each roller's options

Each roller has 10 possible numbers (0 - 9), so each position has 10 choices.

Step2: Apply the multiplication principle

For 6 independent rollers, the total number of codes is \(10\times10\times10\times10\times10\times10 = 10^6\).

Step3: Calculate the result

\(10^6=1000000\).

Answer:

1000000