If we arrange the digits 2, 3, 4 in different ways, how many distinct three‑digit numbers can we make?
Answer
6
The correct answer is 6 — So 6 distinct numbers can be formed.
Step-by-step solution
- There are 3 different digits.
- The number of ways to arrange 3 distinct items is 3! = 3 × 2 × 1 = 6.
- So 6 distinct numbers can be formed.
Common mistake: Counting repeated arrangements or treating digits as identical
Concept tested: Permutation count
Published · How this solution was prepared and checked
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