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In the word 'CORPORATION', take the vowels OOAIO as one letter.

Thus, we have CRPRTN (OOAIO) - 6 consonants and 1 vowel quantity.

So total letters = 7 (2 R's are there and 3 O's are there)

 Required number of ways =  \frac{7!*5!}{2!*3!} =50400\ ways