How many four digit numbers can be made up of numbers 0, 1, 2, 3 and 4

How many four digit numbers can be made up of numbers 0, 1, 2, 3 and 4

96
There are five numbers from 0 to 4. There are only four possibilities in the thousand, but not zero. There are four possibilities in the hundred, because there is one in the thousand, plus zero. There are three possibilities in the ten, because there is one in the thousand and one in the hundred. There are two possibilities in the individual, so it should be 4 * 4 * 3 * 2 = 96