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17 votes
17 votes
What is the total number of different 11-letter arrangements that can be formed using

the letters in the word ORTHOGRAPHY?

User Clayton Wilkinson
by
2.5k points

1 Answer

14 votes
14 votes

Answer:

4989600

Explanation:

First, find how many letters there are. There is 11 letters.

Next, find which letters are repeated and if so, how many times. The letters O, R, and H are each repeated twice.

Since there are 11 letters, you must do 11 ! (factorial). There are 3 letters that are repeated twice, so you must divide by 2 ! 3 times.

Your equation is:

11!/ 2! * 2! * 2!

It simplifies into 39,916,800/8 which is equal to 4989600

User Kam
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2.6k points