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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? ?->(Show Answer!)
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1. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?






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  • By: guest on 01 Jun 2017 05.47 pm
    In the word 'CORPORATION', we treat the vowels OOAIO as one letter. Thus, we have CRPRTN (OOAIO). This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different. Number of ways arranging these letters = 7! = 2520. 2! Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged in 5! = 20 ways. 3! Required number of ways = (2520 x 20) = 50400.
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