Answer:
90,720 words
Explanation:
The different ways in which a given number of n things or items can be arranged where all of the items are taken at the same time is known as ⁿPₙ which is the same as n factorial, n!
Therefore, the number of alphabets in the word AAAABBCCD = 9
Hence, the number of different words will exclude words where the 4 A, 2 Bs, and 2 Cs are together, and include the number of ways where the the grouped letters can be arranged among themselves as follows
9! × 4! /(4! × 2! × 2!) = 90,720 words
