Janna celebrates her 18th birthday. She invited 11 of her closest friends (6 boys and 5 girls). Find the number of arrangements with the following restrictions. 1. They are all seated at the round table. 2. Boys and girls are seated alternately. 3. All boys sit together. 4. Four boys must sit together. 5. Four boys must not sit together.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...
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Janna celebrates her 18th birthday. She invited 11 of her closest friends (6 boys and 5 girls). Find the number of arrangements with the following restrictions.

1. They are all seated at the round table.
2. Boys and girls are seated alternately.
3. All boys sit together.
4. Four boys must sit together.
5. Four boys must not sit together. 

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