Question 1155407: find the number of distinguishable permutations of the letters in word missouri Found 2 solutions by ikleyn, MathLover1:Answer by ikleyn(52777) (Show Source):
The word "missouri" has 8 letters, of them letter "i" has a multiplicity of 2 and the letter "s" also has a multiplicity of 2.
Therefore, the number of all distinguishable permutations under the question is
n = = = 10080.
Two factors 2! in the denominator serve to account for multiplicities of the two letters, "i" and "s".
You can put this solution on YOUR website! Find the number of distinguishable permutations of the letters in the word
“Missouri"
Letter Frequency
Total
The value, calculated by hand is:
