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find the number of arrangements which ca...

find the number of arrangements which can be made out of the letters of the word 'algebra', without altering the relative positions of vowels and consonants.

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In the word ALGEBRA, there are three Vowels (A,A and E) and four Consonants (L,G,B and R)
Therefore, in the three positions occupied by vowels, we can rearrange the vowels in `2!3!​=3`ways
And, four consonants can be rearranged in four spaces occupied by consonants in `4! `ways=24ways
Therefore, required number of arrangements ...
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