Permutation & Combination

In how many ways can the letters of the word 'ALGEBRA' be arranged without changing the relative order of vowel and consonant?
Please explain the working.
Thanks

Comments

answer

vvvcccc=123
vvcvccc=124
vvccvcc=125
vvcccvc=126
vvccccv=127

....
ccccvvv=567
there are 35such words as the number of subsets of 3 in a set of seven.
Combination.....

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