Anyone for Daiquiri

Daiquiri is a cocktail of rum, lime-juice, etc. Once on a romp, all the letters of DAIQUIRI flit, except the three I's that retain their relative positions. How many 8-letter words with or without meaning are made possible? Note: Relative position means that there are two letters in between the first two and one letter in between the next two I's.


The answer is 360.

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1 solution

Rajen Kapur
Dec 1, 2014

As three I's retain their places the three possibilities are xxIxxIxI, xIxxIxIx and IxxIxIxx giving 5! words each. Hence 3*(5!) = 360 is the answer.

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