Final answer:
To find the unique permutations of the word 'CONSTANTINOPLE', the formula for permutation with repeating elements is used, resulting in a division of the factorial of the total letters by the factorials of the counts of repeating letters.
Step-by-step explanation:
The question asks to find the total number of unique words formed by rearranging the letters of the word 'CONSTANTINOPLE'. To solve this, we use the concept of permutations where the formula for permutation of n elements with some elements repeating is n!/(p1!*p2!*...*pk!), where p1, p2, ..., pk are the number of times the duplicate elements are repeated. In 'CONSTANTINOPLE', we have 15 letters with 'N' repeated 3 times, 'O' repeated 2 times, and 'T' repeated 2 times. Therefore, the total number of unique permutations is 15!/(3!2!2!).