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.
Answer» 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.

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.

Answer»

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.