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

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