hussi9 wrote:

In how many ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?

(A) 736

(B) 768

(C) 792

(D) 840

(E) 876

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IIM CAT Level Question

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Without limitation the words of JUPITER can be arranged in 7! ways..

Now there are 3 vowels I, E, U

So these vowels can be arranged among themselves in 3! ways.

We need to find the arrangement in vowels are in alphabetical order i.e. EIU which is only one out of 3! ways.

Hence, total number of required arrangement = 7!/3! = 7*6*5*4 = 42 * 20 = 840

Answer D

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