Practice mode Permutation and Combination

In how many ways can the letters of the word ‘ORANGE’ be arranged so that the vowels occupy only the odd positions?

Correct answer A. 36

Explanation

The 3 vowels O, A, E fill the 3 odd positions in 3! ways and the 3 consonants fill the even positions in 3! ways: 6 x 6 = 36.

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