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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