Bob and the Lock

Bob has stopped using normal locks with keys since he usually loses the keys. So, he has moved onto dial locks, like the one shown in the image below. This lock has 5 dials. But, he doesn't want to be vulnerable to brute force attacks. So, he has designed a dial lock with N dials. Each dial is independent and has digits available from 1 to K. The digits on every dial are cyclic and thus in one mo