How many distinguishable words, whether they have meaning or not, can be made using all the letters in the word  Hippopotamus? Write out each step and explain what you are doing in each step.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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How many distinguishable words, whether they have meaning or not, can be made using all the letters in the word 

Hippopotamus?

Write out each step and explain what you are doing in each step.

 

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Hi, I don't understand how you reached the final equation and you final answer.Also, is the last equation a permution or combination equation and how did you get there?  Also why does the number of repeats matter in this equation?

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