All vowels in the word itself
Probability
Level
3
In how many ways the letters of the word EDUCATION can be arranged so that the vowels are in the order AEIOU not necessary together?
The answer is 3024.
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1 solution
The word EDUCATION has 9 letters in it so it can be written in number of ways equal to 9! Now we want that the five vowels AEIOU don't interchange their positions so we will divide 9! by 5! (as there are 5 vowels) So... 9!/5! =9 8 7*6= 3024.