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

Question

Maximilian Jensen

Mathematics

6 February, 05:15

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

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Holly Hanson · Answer 1

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