A company assigns passwords to each of its 2000 employees. Each password consists of 3 distinct letters (no repeating letters) and 3 distinct digits

unique-passwords

#1

A company assigns passwords to each of its 2000 employees. Each password consists of 3 distinct letters (no repeating letters) and 3 distinct digits. The company assigns a new password to each employee at the beginning of each month. To the nearest year, for how many years will the company be able to supply unique passwords

Answer:

262524109*8 = 11232000 different passwords possible
11232000/2000 = 5616 passwords per person
5616/12 =468 years