Question

Lugano Leather Company makes an executive attach ́e equipped with two rolling combination locks, each one with a provision for a three-digit number. The attach ́e case is unlocked by setting each lock to produce the correct combination. Each roller in each of the two locks has ten digits ranging from 0-9.

i.) How many possible combinations are there?

ii.) How many combinations are possible if the lock on the left-hand side of the case must end with an even number and the lock on the right-hand side of the case must end with an odd number?

Answer 1