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  4. number greater than 1000 but not greater than 4000 which can be formed with the digits 0,1,2,3,4 (repetition of digits allowed), are

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Q. number greater than $1000$ but not greater than $4000$ which can be formed with the digits $0,1,2,3,4$ (repetition of digits allowed), are

Solution:

The first place can be filled by $1,2$ or $3$ in $3$ ways
Remaining $3$ places can be filled by $5^{3}$ ways
Required no of ways $=3 \times 5^{3}=375$