Word puzzle: which English word can be formed using only the letters H, E, I, V, D, E and O without adding any new letters?

Introduction / Context:
This puzzle asks us to build a meaningful English word from a given jumbled set of letters. We are given the letters H, E, I, V, D, E and O and asked which option can be formed using only these letters, without introducing any new characters. This type of jumbled word problem, often called an anagram puzzle, is common in reasoning tests and language quizzes and helps train careful checking of letter usage.

Given Data / Assumptions:

• Available letters: H, E, I, V, D, E and O.
• We may use each letter at most as many times as it appears in the list.
• No new letters can be introduced.
• The answer must be a familiar English word.
• Exactly one of the options can be formed under these constraints.

Concept / Approach:
The strategy is to test each option by breaking it down into letters and comparing them with the supplied multiset {H, E, I, V, D, E, O}. If every letter of the candidate word is in the list and does not exceed the count available, the word is potentially valid. We then check whether that candidate is indeed a real English word. The correct answer will be the only option that satisfies both the letter constraint and the vocabulary requirement.

Step-by-Step Solution:
Write the pool of letters clearly: H, E, I, V, D, E, O. Check option video: letters are V, I, D, E, O. All of these letters appear in the given pool, and none are used more times than available. Video is a common English word, so this candidate is valid. Now inspect the other options for extra letters or implausible spellings.

Verification / Alternative check:
Option hivedo uses letters H, I, V, E, D, O, which are all present in the pool, but hivedo is not a standard English word. Option hoivee uses H, O, I, V, E, E, which fits the letter pool but again does not form a recognized word. Option vedhio is a rearrangement of valid letters V, E, D, H, I, O but does not correspond to any common English word either. Video stands out as the only meaningful, correctly spelled word, so it must be the answer.

Why Other Options Are Wrong:
Although hivedo, hoivee and vedhio use only allowed letters, they are not standard dictionary words. They are included purely as distractors to check whether the solver understands that the task is not only about letter matching but also about forming a real English word. In vocabulary and reasoning puzzles, nonsense letter strings are not accepted as valid solutions even if they obey the letter set rules.

Common Pitfalls:
Some learners assume that any letter combination is acceptable as long as it respects the given pool, which leads to choosing a random looking but incorrect option. Others get distracted by the presence of all letters of video and still hesitate because the word is shorter than the full set. It is important to note that the puzzle does not require using all letters, only that no extra letters be added. Understanding this subtlety is essential in many anagram style questions.

Final Answer:
The only valid English word that can be formed is video.