Q:

# How many different combinations are in a 3-digit lock?

A:

If each digit in a 3-digit lock contains the numbers 0-9, then each digit has 10 options, and 1,000 different combinations are possible. However, the exact number of combinations depends on how many options each digit has.

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If the number of options for each digit is "x," there would be a total of x*x*x number of combinations for the lock. This is because there are x options for the first digit, x options for the second digit and x options for the third digit. Those can be combined in x*x*x different ways since the value of x can be repeated in each. In other words, if each digit has 5 options, the total number of combinations equals 5*5*5, or 125.

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