A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?

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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A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?

 

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