Number greater than 1000 but less than 4000 is formed using the digits 0, 2, 3, 4 repetition allowed
125
105
128
625
As we learnt in
Number of Permutations with repetition -
The number of ways of filling r places where each place can be filled by any one of n objects.
It is
- wherein
Where
See arrangements.
First place can be filled with just 2 or 3.
Correct option is 3.
Option 1)
125
This is an incorrect option.
Option 2)
105
This is an incorrect option.
Option 3)
128
This is the correct option.
Option 4)
625
This is an incorrect option.
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