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

Question

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 (A) 350 (B) 375 (C) 450 (D) 576

Tardigrade Admin · Accepted Answer

The first place can be filled by 1,2 or 3 in 3 ways Remaining 3 places can be filled by 53 ways Required no of ways =3 × 53=375

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

350

375

450

576

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 $= 3 \times 5^{3} = 375$

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

350

375

450

576

The first place can be filled by 1,2 or 3 in 3 ways Remaining 3 places can be filled by 53 ways Required no of ways =3×53=375

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

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 $= 3 \times 5^{3} = 375$