A combination lock on a suitcase has 3 wheels, each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, what is the probability of a person guessing the right combination?

As repetition is not allowed total no.of cases possible is


987(because if one of the numbers occupies a wheel, then the other wheel cannot be occupied by this number, i.e. next wheel have 1 less case than the previous wheel and so on)


Therefore, total cases = 504


Desired output is the correct combination of a single 3 digit number.


Therefore, the total no.of desired outcomes are 1


We know that,


Probability of occurrence of an event


Therefore, the probability of correct combination


Conclusion: Probability of guessing right combination is


1