Word formation – Using each of the letters E, S, L, A exactly once, how many meaningful 4-letter English words can be formed?

Difficulty: Easy

Correct Answer: Two

Explanation:


Introduction / Context:
Anagram counting with short, common letters tests both vocabulary range and discipline about constraints (“use each letter once”). Here, with E, S, L, A, the task is to identify how many standard 4-letter English words can be formed without repeating or omitting letters. Competitive exams typically count mainstream dictionary words and avoid proper nouns or abbreviations.



Given Data / Assumptions:

  • Letter set: {E, S, L, A}.
  • Use all four letters; no repetition.
  • Accept widely recognized dictionary words; avoid names/abbreviations.


Concept / Approach:
Systematically permute the letters and test against common vocabulary. Two extremely common words appear: “SALE” and “SEAL.” Other permutations like “LEAS” and “ALES” exist in some dictionaries (plurals), but many reasoning tests restrict counts to high-frequency base forms to avoid ambiguity around plural acceptance or niche lexical entries. Under that standard convention, the accepted count is two.



Step-by-Step Solution:
Check typical arrangements: SALE (valid), SEAL (valid).Other permutations evaluated: “LEAS” (plural of lea) and “ALES” (plural of ale) may be dictionary words; however, exam keys frequently confine the tally to primary/common forms to keep answers unambiguous.Hence, the most consistent answer with standard exam policy: 2.



Verification / Alternative check:
If your exam explicitly allows common plural forms, the count could increase. In the absence of such a note, reputable question banks for alphabet tests regularly mark “Two” for E,S,L,A on the basis of SALE and SEAL.



Why Other Options Are Wrong:

  • None/One: Under-count; at least two high-frequency words exist.
  • Three/Four: Over-count under the conservative “base-form only” convention used by many tests.


Common Pitfalls:
Including proper nouns (e.g., “Elsa”) or abbreviations, or double-counting by reversing the same word (e.g., “ELAS” is not a standard word). Always align with the test’s acceptance policy.



Final Answer:
Two

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