In how many ways can the letters of the word ALGEBRA be arranged without changing the relative order of the vowels and consonants?

In how many ways can be letters of the word "MULTIPLE" be arranged without changing the order of the vowels in the word ?

The number of ways in which the letters of the word ALGEBRA can be arranged without changing the relative positions of Vowels and consonants is

In how many ways can the letters of the word PATLIPUTRA be arranged,so that the relative order of vowels are consonants do not alter?

In how many ways can the letters of the word CONTACT be arranged (i) without changing the order of the vowels (ii) without changing the relative positions of vowels and consonants (iii) without changing the positions of the vowels ?

In how many ways the letters of the word “ARRANGE” can be arranged without altering the relative positions of vowels & consonants ?

In how many ways the letters of the word "ARRANGE" can be arranged without altering the relative positions of vowels & consonants?

In how many ways can the letters of the word PATLIPUTRA be arranged, so that the relative order of vowels are constants do not alter ?