Five digit numbers are formed using digits 0, 1, 2, 3, and 4 without repetition.
A 5-digit number cannot start with 0, as it would become a 4-digit number.
For the first position (ten thousands place):
Cannot use 0
Can use: 1, 2, 3, or 4
Choices = 4
For the second position (thousands place):
One digit already used in the first position
4 digits remaining (including 0)
Choices = 4
For the third position (hundreds place):
Two digits already used
3 digits remaining
Choices = 3
For the fourth position (tens place):
Three digits already used
2 digits remaining
Choices = 2
For the fifth position (units place):
Four digits already used
1 digit remaining
Choices = 1
Total 5-digit numbers = 4×4×3×2×1
=96