Word-formation count: Using each letter only once, how many meaningful English words can be formed from the letters I, T, R, M?

Difficulty: Easy

Correct Answer: One

Explanation:


Introduction / Context:
From the letter set I, T, R, M, determine the number of common English words that can be formed using each letter once. This probes quick anagram spotting within a small letter bag.


Given Data / Assumptions:

  • Letters: {I, T, R, M}.
  • Each letter used once per word.
  • Standard English words (no proper nouns or abbreviations).


Concept / Approach:
The clearest common anagram is TRIM (verb/adjective). Alternatives like “mirt,” “ritm,” or “rimt” are not English words; “trim” alone satisfies both the letter-use constraint and dictionary validity. Hence, the count is one.


Step-by-Step Solution:
1) Test common placements: TRIM ✓.2) Check other permutations: none yield standard words.3) Conclude only one valid word exists.


Verification / Alternative check:
Consulting typical exam word lists and general dictionaries confirms “trim” as the sole frequent, valid anagram.


Why Other Options Are Wrong:
“None” undercounts; “Two/Three” would require accepting non-words.


Common Pitfalls:
Overlooking “trim” due to focusing on vowel-initial starts; always scan consonant clusters too.


Final Answer:
One

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