From the given alternative words, select the word which cannot be formed using the letters of the given word Herringbone.

Introduction / Context:
This word formation problem gives you the base word Herringbone and several candidate words. You must identify which candidate cannot be constructed using only the letters from Herringbone, with each letter used no more often than it appears in the base word. This exercise trains your ability to track letters carefully and recognise when required letters are missing.

Given Data / Assumptions:

• Base word: Herringbone.
• Candidate words: Biner, None, Bane and Hinge.
• Each letter from Herringbone is available in limited quantity based on its frequency in the base word.
• No extra letters beyond those present in Herringbone may be introduced.
• Exactly one candidate word violates these conditions and cannot be formed.

Concept / Approach:
The approach is to list the letters in Herringbone and count how many times each appears. Then, for each candidate word, you check whether every required letter exists in the base word and whether there are enough copies to cover any repetitions. If a candidate needs a letter that is not present at all, or needs more copies than available, that candidate cannot be formed from the base word.

Step-by-Step Solution:
Write Herringbone and list letters: H, E, R, R, I, N, G, B, O, N, E. Count frequencies: H1, E2, R2, I1, N2, G1, B1, O1. Check Biner: letters B, I, N, E, R. The base word has B1, I1, N2, E2 and R2, so Biner can be formed. Check None: letters N, O, N, E. The base word has N2, O1 and E2, which is enough to build None, so this word can be formed. Check Bane: letters B, A, N, E. The base word has B1, N2 and E2, but it has no A at all, so Bane cannot be formed. Check Hinge: letters H, I, N, G, E. The base word has at least one of each H, I, N, G and E, so Hinge can be formed. Therefore, Bane is the only impossible word.

Verification / Alternative check:
A quicker way is to scan Herringbone for each unique letter in the options. The words Biner, None and Hinge consist only of letters that clearly appear in Herringbone. Bane, however, includes the letter A, which is absent from the base word. The presence of a letter that does not occur at all in the source word is sufficient to prove that Bane cannot be constructed, confirming the conclusion of the detailed frequency check.

Why Other Options Are Wrong:
Option A, Biner, does not need any letter that is missing and uses each only once, well within the base counts. Option B, None, uses N, O and E in quantities provided by Herringbone. Option D, Hinge, uses H, I, N, G and E, all of which appear at least once in the base word. Option E, None of these, is incorrect because Bane clearly fails the letter availability requirement and stands out as the single impossible word among the choices.

Common Pitfalls:
A common mistake is to assume that if a letter appears at all in the base word, it can be reused endlessly, which is not allowed. Another error is to overlook less frequent letters like A or V that may not appear in the base word at all. To avoid these issues, systematically compare each candidate with a written list of letters from the base word, paying close attention to letters that seem unusual or that may not be present.

Final Answer:
The word that cannot be formed using the letters of Herringbone is Bane.