Question

A lock on a bank vault consists of three dials, each with 30 positions, in order for the vault to open, each of the three dials must be in the correct position. how many different "dial combinations" are there for this lock? place your answer in the blank. do not use any decimal places or commas. for example, 12345 would be a legitimate entry.

Answer 1

there are 27000 possible combinations

when combining 2 or more separate possible outcomes in which numbers can be repeated, you multiply each possibility together. Each of the 3 dials has 30 possible positions on its own, so the number of combinations for all three is:
30 × 30 × 30 = 27000