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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Answered by
1
Answer:
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But in these 7 letters, 'R' occurs 2 times and rest of the letters are different. In the 5 vowels (OOAIO), 'O' occurs 3 and rest of the vowels are different.
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Solved Examples(Set 1) - Permutation and Combination.
5. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
A. 42000 B. 48000
C. 50400 D. 47200
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Answered by
1
Answer:
50400
Explanation:
Vowels in the word "CORPORATION" are O,O,A,I,O
Lets make it as CRPRTN(OOAIO)
This has 7 lettes, where R is twice so value = 7!/2!
= 2520
Vowel O is 3 times, so vowels can be arranged = 5!/3!
= 20
Total number of words = 2520 * 20 = 50400
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