SOLUTION: how many ways can the letters of the word Onion be arranged so that the 2 consonants are never together.

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Question 388804: how many ways can the letters of the word Onion be arranged so that the 2 consonants are never together.
Answer by robertb(5830) About Me  (Show Source):
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Total number of ways of arranging the letters of "onion" - Total number of ways of arranging the letters of "onion" with n,n together = 5%21%2F%282%212%211%21%29+-+4%21%2F%282%211%211%21%29+=+30+-+12+=+18.