Question

How many 5 digit numbers can be formed if each one uses all the digits 0 1 2 3 4 without repetition?

Answer 1

The first digit can be filled in 4 ways(since 0 is not possible)
The second digit can be filled in 4 ways
The third digit can be filled in 3 ways
The fourth digit can be filled in 2 ways
The fifth digit can be filled in 1 way

Hence, the required answer is 4x4x3x2x1 = 96 five-digit numbers

Answer 2

Answer:

The number of five-digit numbers is 96

Step-by-step explanation:

Given five-digits are 0, 1, 2, 3, 4

Since we have to form the five-digit number, 0 can not be filled in the first position, therefore 1st digit can be filled in 4 ways

The 2nd digit can be filled in 4 ways

The 3rd digit can be filled in 3 ways

The 4th digit can be filled in 2 ways

The 5th digit can be filled in 1 way

The number of 5 digit numbers that can be formed is given by

= 4 × 4 × 3 × 2 × 1

= 96

Therefore the number of 5 digit numbers that can be formed by the digits 0, 1, 2, 3, `4 is 96