If ten components are to be stacked into a cylindrical casing. Component 1 and 2 need to be at the bottom and top respectively. Three components are one type and identical to one another, another two components are also one type and identical to one another, and another three components are non-identical. How many different designs are possible

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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If ten components are to be stacked into a cylindrical casing. Component 1 and 2 need to be at the bottom and top respectively. Three components are one type and identical to one another, another two components are also one type and identical to one another, and another three components are non-identical. How many different designs are possible?

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