Company X wants to assign each employee a 3-digit ID number formed from digits in the set of numbers

Question

{1,2,3,4,5,6}

Answer 1

Think about the decimal number system (digits 0-9, a positional number system).  There are 1000 possibilities for three digits (each 0-9, so that means 000 to 999).  This is 10*10*10.

 

The problem gives a 6-value number system (like the dots on dice).  For three digits, there are 6*6*6=216 possibilities ranging from 111 to 666.  That means a maximum of 216 employees (It is not cool to give the same ID number to people, even after employee turnover).