SOLUTION: find in how many ways we can arrange the letters in the word 'MISSISIPI' so that all S's come together and no I's come together

Question 891543: find in how many ways we can arrange the letters in the word 'MISSISIPI' so that all S's come together and no I's come together
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

I already answered this, both with this misspelling as well as the
correct spelling.

Assuming that you really meant
this misspelling "MISSISIPI", the 3 things

M,SSS,P 

can be arranged in 3! = 6 ways:

 M SSS P
 M P SSS
 SSS M P
 SSS P M
 P M SSS
 P SSS M

Then the 4 I's can be placed only 1 way in each of
those so that no I's come together:

IMISSSIPI
IMIPISSSI
ISSSIMIPI
ISSSIPIMI
IPIMISSSI
IPISSSIMI

Answer: 3!*1 = 6

Edwin

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