How many ways to arrange a word ORANGE in which vowels are not together?
The given word `ORANGE` has 6 letters and three vowels,
The number of ways in which vowel would be together i.e. (OAE)RNG = 3! $\times$ 4! = 144.
So, the number of ways to arrange letters in which vowels are not together = 6! - 144 = 720 - 144 = 576.
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