SOLUTION: 1.Q1: From the letters of MISSISSIPPI, how many different 11 letter words can be constructed? 2.From the letters of TALLAHASSEE, how many different 4 letter words can be construc

Algebra ->  Permutations -> SOLUTION: 1.Q1: From the letters of MISSISSIPPI, how many different 11 letter words can be constructed? 2.From the letters of TALLAHASSEE, how many different 4 letter words can be construc      Log On


   



Question 1173142: 1.Q1: From the letters of MISSISSIPPI, how many different 11 letter words can be constructed?
2.From the letters of TALLAHASSEE, how many different 4 letter words can be constructed if letter repetition are not permitted.
please help me

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
1. From the letters of MISSISSIPPI, how many different 11 letter words can be constructed?
2. From the letters of TALLAHASSEE, how many different 4 letter words can be constructed if letter repetition are not permitted.
please help me
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            In this post,  I will answer part  (1),  ONLY.


1)  M I S S I S S I P P I


    11 letters, in all.

     4 letters " I "

     4 letters " S "

     2 letters " P "


     The number of distinguishable arrangements = 11%21%2F%284%21%2A4%21%2A2%21%29 = 34650.     ANSWER


     In my formula, recognise the multiplicities of the letters.

For more explanations, see the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.

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