Given: We have 3 digits, i.e. 0, 1 and 2
To Find: Number of 5-digit numbers formed
Let us represent the arrangement
| 2 ways, i.e. 1,2 |
3 ways |
3 ways |
3 ways |
3 ways |
For forming a 5-digit number, we have to fill 5 vacant spaces.
But the first place cannot be filled with 0, hence for filling first place, we have only 1 and 2
First place can be filled with 2 numbers, i.e. 1, 2 = 2 ways
Second place can be filled with 3 numbers = 3 ways
Third place can be filled with 3 numbers = 3 ways
The fourth place can be filled with 3 numbers = 3 ways
The fifth place can be filled with 3 numbers = 3 ways
Total number of ways = 2 × 3 × 3 × 3 × 3 = 162
162 5-digit numbers can be formed by using the digits 0, 1 and 2.
