A lock has 3 tumblers each has 10 numbers from one through zero, how many possibilities to open lock
and what are the numbers ?
assuming one can use zeroes, as in 005, then you have 1000 combinations, including 000
To calculate the number of possibilities to open the lock, we need to calculate the total number of combinations possible for each tumbler and then multiply them together.
Since each tumbler has 10 numbers (from 0 to 9), there are 10 possibilities for each tumbler.
So, if we have 3 tumblers, the total number of possibilities to open the lock would be 10 * 10 * 10 = 1,000.
As for the numbers on each tumbler, they range from 0 to 9. This means that each tumbler can have the following numbers: Tumbler 1 (0-9), Tumbler 2 (0-9), Tumbler 3 (0-9).