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.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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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
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?
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