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?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 41E

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