Word formation – From the letters W, N, O (no repetition), how many meaningful 3-letter English words can be formed using each letter exactly once?
-
ANone
-
BOne
-
CTwo
-
DThree
-
EFour
Answer
Correct Answer: Three
Explanation
Introduction / Context:Short anagrams with three letters frequently yield up to three valid permutations. With W, N, O, we must form 3-letter words using each letter once, and count how many are standard English words. This checks your recall of common, simple vocabulary including different parts of speech.
Given Data / Assumptions:
- Letters: {W, N, O}.
- Word length = 3; no letter repetition.
- Accept mainstream dictionary words only.
Concept / Approach:Enumerate the permutations and test meaning. The three familiar words are: “NOW,” “OWN,” and “WON.” All three are ubiquitous in standard English: now (adverb of time), own (verb/adjective), won (past participle/past of win). Because each uses all letters once, the total count is three.
Step-by-Step Solution:Try each starting letter: N__ → NOW; O__ → OWN; W__ → WON.All three are dictionary words with common usage.Therefore, number of meaningful 3-letter words = 3.
Verification / Alternative check:A quick dictionary or word-list glance confirms the trio. These are standard “starter” examples in many reasoning sets, minimizing ambiguity.
Why Other Options Are Wrong:
- None/One/Two: Under-count; the letter set yields exactly three high-frequency words.
Common Pitfalls:Overlooking tense changes (“won”) or different parts of speech (“own”). In short anagrams, function and inflected forms often complete the valid set.
Final Answer:Three