Question

A three-digit number is formed by randomly choosing three numbers from {1, 2, 3, 4, 5}, and each number can be chosen more than one time. How many different three-digit numbers can be formed?

Answer 1

Each digit has 5 different possibilities (the numbers from 1-5). There are three digits in each number. So, for each number, you pick from the group of five, three times. Therefore the amount of permutations is

5*5*5