In how many ways can the letters of the word MISSISSIPPI be rearranged ?
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OpenStudy (mathmath333):
\(\large \color{black}{\begin{align}
& \normalsize \text{In how many ways can the letters of the word MISSISSIPPI be rearranged ?}\hspace{.33em}\\~\\
\end{align}}\)
OpenStudy (steve816):
Easy peasy
OpenStudy (anonymous):
i so did not look that up ;)
OpenStudy (steve816):
Really? copy and paste?
OpenStudy (anonymous):
XD
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ganeshie8 (ganeshie8):
lol
OpenStudy (mathmath333):
please pay attention to word 'rearranged '.
OpenStudy (steve816):
\[\frac{ 11! }{ 4! * 4! * 2! }\]
OpenStudy (steve816):
There you go.
OpenStudy (mathmath333):
is arranging and rearranging same thing
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imqwerty (imqwerty):
34650 :) yes!! they r same
OpenStudy (mathmath333):
r u sure
OpenStudy (steve816):
@imqwerty Did you use my equation to get the answer?
OpenStudy (mathmath333):
i m confused very much
OpenStudy (steve816):
But your rating is 97 and you're a mathlete...
I thought you were smart lol
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imqwerty (imqwerty):
yea @steve816 i used the same equation to get the answer :)
OpenStudy (steve816):
Wow, Mr.Bond
OpenStudy (anonymous):
I guess, tons of ways? XD
OpenStudy (steve816):
Brony go away.
OpenStudy (anonymous):
excuse me?
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OpenStudy (steve816):
I'm messing with ya :p
OpenStudy (anonymous):
-.-
OpenStudy (dan815):
M, i,i,i,i,S,S,S,S,P,P
1-m,4-i,4-s,2-p
total = 1+4+4+2=11
in 11! ways if makes a distinction between the repeated letter cases so we have a multiple of those according to how many redundant cases we got
so 11!/(4!*4!*2!)
OpenStudy (dan815):
in 11! ways it* makes
OpenStudy (dan815):
there is a nice way to picture it
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OpenStudy (dan815):
like lets say for the 4, is you take those apart and put it to the side