How many permutations are possible using the 11 letters in the word MISSISSIPPI​?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2CC
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Question
If the n objects in a permutations problem are not all
distinguishable—that
​is, if there are
n1
of type​ 1,
n2
of type​ 2, and so​ on, for r different
types—then
the number of distinguishable permutations is given by
n!n1!n2!•••nr!.
 
How many permutations are possible using the
11
letters in the word
MISSISSIPPI​?
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