azfarfatima azfarfatima
  • 22-11-2020
  • Mathematics
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In how many different ways can the letters of the word 'CORPORATION' be arranged.

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SerissSkyee3
SerissSkyee3 SerissSkyee3
  • 22-11-2020
Hey :)

The answer is 50400 ways

Because,
The word 'CORPORATION' has 11 letters.

It has the vowels 'O', 'O', 'A', 'I', 'O' in it and these 5 vowels should always come together.

These 5 vowels can be grouped and considered as a single letter. CRPRTN (OOAIO).

Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different.


Hope this helps!
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