A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. a). The park is shaped like a 9-sided polygon (with no adjacent sides being collinear). How many triangles can be formed from the vertices of this park/polygon? b). The group forms a line at the ticket counter. E, F, G, and H are a family, thus they would like to stay together. How many permutations/arrangements of the line ensure they are together?

A group of 8 people, A, B, C, D, E, F, G, and H are visiting an amusement park. a). The park is shaped like a 9-sided polygon (with no adjacent sides being collinear). How many triangles can be formed from the vertices of this park/polygon? b). The group forms a line at the ticket counter. E, F, G, and H are a family, thus they would like to stay together. How many permutations/arrangements of the line ensure they are together?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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