From the given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many 4-digit numbers…
2018
From the given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many 4-digit numbers greater than 3000 can be formed?
- A.
50
- B.
51
- C.
52
- D.
54
Attempted by 7 students.
Show answer & explanation
Correct answer: C
The number must start with 3 or 4 to be greater than 3000.
If it starts with 3, the remaining three places can be filled in 26 valid ways after respecting the repeated digit limits.
If it starts with 4, the remaining three places can also be filled in 26 valid ways.
Total valid numbers = 26 + 26 = 52.