In how many different ways can the letters of the word "CORPORATION" be arranged in such a way that no two vowels are together?

Sorry I don't have an answer to this

Step 1: Separate consonants with 7 empty slots *C*R*P*R*T*N*.

Step 2: 6 consonants CRPRTN can be arranged in 6!/2! ways (6 letters with two R's);

Step 3: we have 5 vowels OOAIO. Choose 5 slots out of 7 for them (this way no two vowels will be together):C^5_7 .

Step 4: 5 vowels in their slots can be arranged in 5!/3!

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In how many different ways can the letters of the word "CORPORATION" be arranged in such a way that no two vowels are together?

Sorry I don't have an answer to this

Step 1: Separate consonants with 7 empty slots *C*R*P*R*T*N*.

Step 2: 6 consonants CRPRTN can be arranged in 6!/2! ways (6 letters with two R's);

Step 3: we have 5 vowels OOAIO. Choose 5 slots out of 7 for them (this way no two vowels will be together):C^5_7 .

Step 4: 5 vowels in their slots can be arranged in 5!/3!

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kindly explain this

thanku.

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kindly explain this

thanku.]]>

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Does GMAT test us on such questions?

Yes, the question is valid. Similar questions to practice:

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