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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

Verified by Experts

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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