How many ways are there to arrange the letters of the word EDUCATION s

1.	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
Answer» Correct option (A) 15 Explanation: EDUCATION Vowels EUAIO Consonant DCTN = 1 x ⁶C₄ x 1 = 15

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

Answer»

Correct option (A) 15

Explanation:

EDUCATION

Vowels EUAIO

Consonant DCTN

= 1 x ⁶C₄ x 1

= 15

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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

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