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Mathematics 7 Online
OpenStudy (anonymous):

Consider all of the distinguishable letters in the word ENTERTAINMENT in a row. In total, there are 28,828,800 such arrangements. Some of the 28,828,800 arrangements will have all three E's consecutively, but will have none of the N's occurring consecutively. An example of this would be NRAEEENTNIMTT. How many arrangements have both of these properties?

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