G how many distinct ordered arrangements of the letters of the word boogaboo can be made?

In the word "boogaboo", there are eight (8) letters while there are only four distinct letters. The number of distinct ordered arrangements can be calculated through the equation,

n = 8! / (2!) (4!)

where there are 2 letter b's and 4 letter o's. The answer to this item is 840.

Answer: 840