All the possible digits (10 of them; 0-9) are multiplied by themselves by the number of digits that can be shown in the lock. (3) This is 103, or 1,000.
This certainly shows why guessing is not a good way to break into a numerical lock, especially since three is a rather low number of digits for one!
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Assuming each "digit" actually has 10 different states, there are one million combinations possible in a six-digit combination lock. However, many combination lock designs actually have fewer than 10 different states per "digit", resulting in far fewer actual combinations on such locks.
6,720 combinations.
10x9x9x9
Assuming that repeated numbers are allowed, the number of possible combinations is given by 40 * 40 * 40 = 64000.If repeated numbers are not allowed, the number of possible combinations is given by 40 * 39 * 38 = 59280.
Oh, dude, you're asking me to do math now? Like, okay, fine. So, for a 3-number lock, you have 10 options for each digit (0-9), so it's 10x10x10, which is 1,000 possible combinations. There you go, math wizard.