SOLUTION: how many ways can 3 americans, frenchmen, danes and 2 italians be seated in a row so that those of the same nationality sit together?
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Question 830282: how many ways can 3 americans, frenchmen, danes and 2 italians be seated in a row so that those of the same nationality sit together? Answer by Edwin McCravy(20054) (Show Source):
Choose the order of the 4 nationalities in 4! ways.
Choose the order of the 3 Americans in 3! ways.
Choose the order of the 3 Frenchmen in 3! ways.
Choose the order of the 3 Danes in 3! ways
Choose the order of the 2 Italians in 2! ways.
Answer 4!3!3!3!2! = (24)(6)(6)(6)(2) = 10368 ways.
Edwin
