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If the letters of the word ASSASSIN are ...

If the letters of the word ASSASSIN are written down in a row, the probability that no two S's occur together, is

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Total number of ways to arrange 'ASSASSIN' is ` (8!)/(4! .2!)`
First we fix the position `ox A ox A ox A ox I ox N `
Number of ways in which no two S's occur together
`=(4!)/(2!) xx ""^(5)C_4`
`therefore` Required probility `=(4!xx5xx4! xx 2!)/(2!xx8!)=(1)/(14)`
Hence, it is a false statement.
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