Lance has a regular heptagon (7-sided figure). How many distinct ways can he label the vertices of the heptagon with the letters in OCTAGON if the N cannot be next to an O ? Rotations of the same labeling are considered equivalent.
There are 7! = 5040 ways to label the heptagon. There are 4! = 24 ways where the O's are next to an N, so the number of ways where N is not next to an O is 5040 - 24 = 5016.
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Lance has a regular heptagon (7-sided figure). How many distinct ways can he label the vertices of the heptagon with the letters in OCTAGON if the N cannot be next to an O ? Rotations of the same labeling are considered equivalent.
Here, I search for you, it was easy to find.
https://web2.0calc.com/questions/tricky-question_8
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(Here and on the first one)