From the given words, select the word that cannot be formed using the letters of the word ORDINALS, with each letter used at most as many times as it appears.

Introduction / Context:
This word-formation question asks you to determine which option cannot be made from the letters of the base word ORDINALS. You must pay attention not only to whether each letter appears in the base word, but also to how many times it appears. If a word demands a letter that is missing, or too many copies of a letter, it cannot be formed.

Given Data / Assumptions:

• Base word: ORDINALS.
• Letters available: O, R, D, I, N, A, L, S (each appears once).
• Options: DINAR, ADORN, SALON, IDEAL.
• Each letter in the options may be used only up to its count in ORDINALS.

Concept / Approach:
We list the letters from ORDINALS and then examine each option word, checking letter by letter. If every letter in an option is present in ORDINALS and required only once, that word can be formed. If an option requires a letter that does not exist in ORDINALS, the option cannot be formed and is therefore the correct answer for this kind of question.

Step-by-Step Solution:
Step 1: Write the letters of ORDINALS. Letters: O, R, D, I, N, A, L, S. Each letter occurs once. Step 2: Examine option DINAR. Letters: D, I, N, A, R. All of these letters are present in ORDINALS, each needed once. So DINAR can be formed. Step 3: Examine option ADORN. Letters: A, D, O, R, N. Again, all letters A, D, O, R and N are available in ORDINALS, each one time. So ADORN can be formed. Step 4: Examine option SALON. Letters: S, A, L, O, N. S, A, L, O and N are all present in ORDINALS exactly once, so SALON can be formed. Step 5: Examine option IDEAL. Letters: I, D, E, A, L. I, D, A and L are present in ORDINALS, but the letter E is not present at all. Therefore IDEAL cannot be formed from ORDINALS.

Verification / Alternative check:
Only the word IDEAL introduces letter E, which does not occur in the base word. All other options use only letters from the set {O, R, D, I, N, A, L, S}. Because the condition is that the word must be able to be formed entirely from the base letters, IDEAL fails this test uniquely.

Why Other Options Are Wrong (i.e., they can be formed):
Option A (DINAR): Uses D, I, N, A and R, all of which are in ORDINALS. Option B (ADORN): Uses A, D, O, R and N, again all present in ORDINALS. Option C (SALON): Uses S, A, L, O and N, all available.

Common Pitfalls:
A common mistake is to check visually without listing letters, which can cause you to miss a missing letter such as E. Another pitfall is assuming that if most letters match, the word is valid, even though a single incorrect or absent letter invalidates it. Always perform a precise letter-by-letter check.

Final Answer:
The word that cannot be formed from ORDINALS is IDEAL, which corresponds to option D.