Word-formation from letters (no repetition): How many distinct, meaningful English words can be formed using all four letters E, A, M, L?

Difficulty: Easy

Correct Answer: 3

Explanation:


Introduction / Context:
This vocabulary reasoning item asks you to form valid English words using exactly the letters E, A, M, L once each (no repetition, no extra letters). The task is to count how many distinct meaningful words can be created.


Given Data / Assumptions:

  • Available letters: E, A, M, L.
  • Use all four letters exactly once per word.
  • Only standard English dictionary words should be counted.


Concept / Approach:
List plausible anagrams and validate them against common vocabulary. Typical candidates from E, A, M, L include “MEAL,” “MALE,” and “LAME.” Other permutations like “MELA,” “LEAM,” or “ALME” are not standard dictionary headwords in general-aptitude contexts.


Step-by-Step Solution:

1) Generate permutations conceptually: MEAL, MALE, LAME, MELA, LEAM, ALME, etc. 2) Check dictionary validity: “MEAL,” “MALE,” and “LAME” qualify as standard English words. 3) Discard non-words or proper-noun-like forms not accepted in aptitude tests.


Verification / Alternative check:
Cross-verify with a standard word list: the three accepted common words are “MEAL,” “MALE,” and “LAME.”


Why Other Options Are Wrong:
“1,” “2,” or “4/0” miscount either by excluding valid items or including nonstandard forms.


Common Pitfalls:
Counting near-words or abbreviations (e.g., “MELA” as a fair/festival in Indian English is not typically accepted as a general English dictionary headword in such tests), or missing a valid everyday word.


Final Answer:
3

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