Question

A combination lock uses a 3-digit code. Each digit can be any one of the ten available integers 0-9. How many different combinations are possible?

Answer 1

1000

Explanation:

Each value of the first digit can be paired with any value of the second digit, so there are 10×10 = 100 possible pairs of the first two digits. Each of those can be combined with any third digit to give a total of ...

10×10×10 = 1000

possible combinations.