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[tex] \large\boxed{ \sf THE \: PROBLEM \: :}[/tex]
Find the number of distinguishable permutations of the letters of the word conclusions.
The conclusions are 11 letters and this will be used to solve the problem counting the letters each.
[tex] \large\sf {P = \frac{11!}{2! \: 2! \: 2! \: 2!} } \\ [/tex]
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
[tex] \large \quad\quad\quad\quad\sf{» \: \frac{11!}{2! \: 2! \: 2! \: 2!} } \\ [/tex]
[tex]\large\quad\quad\quad\quad\sf{» \: \frac{11!}{16!} } \\ [/tex]
[tex]\large\quad\quad\quad\quad\sf{» \: \frac{39916800}{16} } \\ [/tex]
[tex]\large\quad\quad\quad\quad\sf{» \: 2494800 } \\ [/tex]
Therefore, the number is 2494800
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