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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 occur in the same order (DCTN) – no two consonants are next to each other
(A) 15
(B) 24
(C) 72
(D) 120
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 occur in the same order (DCTN) – no two consonants are next to each other
(A) 15
(B) 24
(C) 72
(D) 120
Correct option (A) 15
Explanation:
EDUCATION
Vowels EUAIO
Consonant DCTN
= 1 x 6C4 x 1
= 15