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Question

How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold?
- the vowels occur in the same order (EUAIO)
- the consonants are next to ea ch other (DCTN)
- no two consonants are next to each other.

A
15
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B
24
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C
72
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D
120
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Solution

The correct option is A 15
first arrange EUAIO 1
For consonant {|E|U|A|I|O|6C4×(1)}6C4=15

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