Five digit numbers formed by using digits 0, 1, 2, 3 and 4 (when repitition of digits are not allowed) are:

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.

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For the first position (ten thousands place):

Cannot use 0

Can use: 1, 2, 3, or 4

Choices = 4

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For the second position (thousands place):

One digit already used in the first position

4 digits remaining (including 0)

Choices = 4

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For the third position (hundreds place):

Two digits already used

3 digits remaining

Choices = 3

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For the fourth position (tens place):

Three digits already used

2 digits remaining

Choices = 2

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For the fifth position (units place):

Four digits already used

1 digit remaining

Choices = 1

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Total 5-digit numbers = $4 \times 4 \times 3 \times 2 \times 1$

$= 96$