### Home > CCG > Chapter 12 > Lesson 12.1.2 > Problem12-32

12-32.

Solve the following problems:

1. How many numbers less than $500$ can you make using the digits $0, 2, 4, 6, 8$? Digits can be used over. A number cannot start with a zero.

How many numbers are possible in the hundreds position?
How many numbers are possible in the tens position?
How many numbers are possible in the ones position?

Multiply the number of possibilities together.

2. How many numbers less than $500$ are there if the digits $0, 2, 4, 6, 8$ cannot be repeated? The lead digit cannot be zero.

Refer to part (a) for help.

$2 \cdot 4 \cdot 3 = 24$