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Find the number of arrangements of the l...

Find the number of arrangements of the letters of the word SALOON, if the two Os do not come together.

Text Solution

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We have letters S,A,L,(O,O),N.
Total number of arrangements without any restriction are `(6!)/(2!)=360`.
Number of arrangements in which two O's occur together (S,A,L (O,O),N) are 5!=120.
Hence required number of ways =360-120=240.
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