How many ways can the letters of the word education be rearranged so that the relative position of the vowels and consonants remain the same as in the word education?

How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same select one A 2880 B 720 C 24 D 120?

Therefore, the answer will be in [120*24] = 2880 ways.

How many ways are there to arrange the letters of the word EDUCATION so that?

There are fifteen solutions to this reduced equation.

How many vowels are there in EDUCATION?

The 5 vowels are A, E, I, O, U. The total number of words present in the word EDUCATION is 9. In which E, U, A, I, O are vowels. So there are 5 vowels among 9 alphabets.

How many words can be formed using word EDUCATION so that vowels come in alternate position?

This is true as we have 5 vowels and 4 consonants and any other combination will force us to pair 2 vowels together. Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 5!*

How many ways EDUCATION can be arranged no vowels together?

Since there are nine distinct letters, there are 9! total arrangements.

How many words can be formed using EDUCATION?

We found a total of 341 words by unscrambling the letters in education.

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