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If you rearranged the letters of the word FACTOR,what is the probability that the vowels are together? Since there are several ways for the vowels

If you rearranged the letters of the word "FACTOR,"what is the probability that the vowels are together? Since there are several ways for the vowels to be together, in different slots throughout the word and with either letter coming first or second, we have to look at each different case separately. Please include a thorough explanation.

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