Final answer:
To find the total number of different 12-letter arrangements that can be formed using the letters in the word ANNUNCIATION, we need to consider the counts of each letter in the word.
Step-by-step explanation:
To find the total number of different 12-letter arrangements that can be formed using the letters in the word ANNUNCIATION, we need to consider the number of each letter in the word.
The word ANNUNCIATION has the following counts of each letter:
- A: 2
- N: 4
- U: 1
- C: 1
- I: 2
- O: 1
- T: 1
To calculate the total number of arrangements, we can use the formula for permutations with repetition:
P = n! / (n1! * n2! * n3! * ...)
Where n is the total number of letters and n1, n2, n3, ... are the counts of each letter. In this case, we have:
P = 12! / (2! * 4! * 1! * 1! * 2! * 1! * 1!) = 4989600
Therefore, the correct answer is B) 4989600.