A number plate can be formed with two alphabets followed by three digits ,…
2025
A number plate can be formed with two alphabets followed by three digits , with no repetition . Then how many possible combinations can we get ?
- A.
47777
- B.
450000
- C.
468000
- D.
467888
Attempted by 338 students.
Show answer & explanation
Correct answer: C
Answer: 468000
Key idea: order matters and repetition is not allowed for both letters and digits.
Step 1: Number of ways to choose and arrange two distinct letters = 26 × 25 = 650.
Step 2: Number of ways to choose and arrange three distinct digits = 10 × 9 × 8 = 720.
Step 3: Multiply the results: 650 × 720 = 468000. Therefore total combinations = 468000.
Final answer: 468000.