Aptitude & Reasoning Medium aptitude 0 views 1 min read

In how many ways can the letters of the word "LEVEL" be arranged?

Peer-reviewed by HireXTech Technical Panel Updated for 2025/2026 hiring Editorial standards
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Interviewer Expectations for this Question
01
Core Competency

Assesses fundamental understanding of Aptitude & Reasoning conventions, runtime behavior, and memory/performance considerations.

02
Evaluation Criteria

Hiring managers look for precision, avoidance of ambiguous jargon, and ability to explain trade-offs under real production conditions.

Comprehensive Model Answer Verified Solution

The word LEVEL has 5 letters with repeats: L appears 2 times, E appears 2 times, V appears once.

Total arrangements = 5! / (2! x 2!) = 120 / 4 = 30.

Approach: start with the factorial of the total length, then divide by the factorial of each repeated letter count to remove duplicate permutations. If all letters were distinct it would be 120.

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