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?

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): You can put this solution on YOUR website!

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

RELATED QUESTIONS
In how many ways can 3 americans,4 Frenchmen, 4 danes and 2 italians be seated in a row... (answered by math_helper)

In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a... (answered by ikleyn)

In how many ways can 2 accountants and 5 engineers be seated in a row so that those of... (answered by greenestamps)

if 4 Americans, 3 French men and 3 Ethiopians are to be seated in a row , how many... (answered by josmiceli)

In how many ways can 3 engineers,4 teachers,4 doctors,3 businessmen and 3 nurses can be... (answered by ikleyn)

In how many ways can 7 boys be seated in a row so that 3 boys are always seated together. (answered by ikleyn)

In how many ways can five boys and six girls be seated in a row of eleven seats so that... (answered by stanbon)

In how many ways can 2 boys and 5 girls be seated in a row, such that the boys do not sit (answered by robertb)

In how many ways can n women be seated in a row so that 2 particular women will not be... (answered by Edwin McCravy)