From the given alternative words, select the word which cannot be formed using the letters of the word ECCENTRICITY, assuming that no letter is used more times than it appears in the original word.

Difficulty: Easy

Correct Answer: CREATE

Explanation:


Introduction / Context:
This word formation problem focuses on the base word ECCENTRICITY. The question asks you to decide which of the given options cannot be formed using its letters. Careful counting and awareness of which letters are present and which are missing from the base word are essential skills being tested. These questions also help improve spelling awareness and analytical thinking about letter combinations.


Given Data / Assumptions:

  • Base word: ECCENTRICITY.
  • Letters available (with approximate counts): E, C, C, E, N, T, R, I, C, I, T, Y (multiple C, E, T and I, plus N, R and Y).
  • Options: NIECE, CREATE, TRINITY, RETICENT.
  • Each letter can be used at most as many times as it appears in ECCENTRICITY.


Concept / Approach:
We again use the systematic letter comparison technique. The fastest way is to see which options contain any letter not present in the base word. If all letters are available and do not exceed the allowed frequency, that option can be formed. If an option contains even a single absent letter, it is impossible to construct from the given base word and becomes our answer. So we should focus especially on letters such as A, L or other characters that may not appear in ECCENTRICITY.


Step-by-Step Solution:
Step 1: Confirm the letter set for ECCENTRICITY: E, C, N, T, R, I, Y, with multiple occurrences of some of these, and no A or L. Step 2: Check NIECE: N, I, E, C, E can all be taken from the base word, so NIECE can be formed. Step 3: Check TRINITY: T, R, I, N, I, T, Y all appear in ECCENTRICITY, so TRINITY can be formed. Step 4: Check RETICENT: R, E, T, I, C, E, N, T are all available, so RETICENT can be formed using the existing pool of letters. Step 5: Check CREATE: C, R, E, A, T, E requires the letter A, which does not occur anywhere in ECCENTRICITY. Therefore CREATE cannot be formed from the base word.


Verification / Alternative check:
A simple verification is to list the unique letters in ECCENTRICITY: {C, E, N, T, R, I, Y}. Any option containing a letter outside this set is automatically invalid. When you scan the options, NIECE, TRINITY and RETICENT all consist only of these letters. However, CREATE introduces the letter A, which is not present in the set, making it impossible to form. This confirms our earlier detailed check.


Why Other Options Are Wrong:
NIECE, TRINITY and RETICENT all use only letters that exist in ECCENTRICITY. Although frequencies need to be considered for a full proof, there are enough repetitions of letters like E, T and I in the base word to support forming these options. Therefore they do not satisfy the requirement of being impossible to form and must be rejected as final answers.


Common Pitfalls:
One common mistake is to be misled by word length, assuming longer words are harder to form. Another error is failing to check every letter of the option against the base word; under time pressure, students might overlook a single extra letter like A in CREATE. To avoid these mistakes, always derive a set of allowed letters from the base word and compare each option against that set, focusing on any new or suspicious letters that do not belong.


Final Answer:
The word that cannot be formed from ECCENTRICITY is CREATE, so CREATE is the correct answer.

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