The literal combinations on algebra

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.

Try my set .
120 24 72 90

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1 solution

Anthony Pham
Jul 8, 2015

The number of ways you can arrange the vowels is 3, aae, aea, and eae. The number of ways you can arrange the consonants is 4 ! = 24 4! = 24 24 × 3 = 72 24 \times 3 = 72

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