Question

If all the letters of the word 'ASSOCIATION' are permuted in all possible ways to form all 11-letter words (with or without meaning), then among these words, the number of words in which the identical letters are always together but no two such groups of identical letters are together is:

• A. \( 1440 \)
• B. \( 2304 \)
• C. \( 576 \)
• D. \( 144 \)

Hint:

To ensure "no two items are together," always arrange the other items first and place the constrained items into the resulting gaps. Since the identical letters within a group like \( \{AA\} \) are the same, there is only \( 1 \) way to arrange letters inside each block.

Answer 1

The Correct Option is D