A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed up, night after night, and no set of four contestants can be chosen more than once, how long (in years) would it take to select all possibilities? Assume the program is on five nights a week, 52 weeks a year, and that the order in which the contestants are chosen is important.

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 TV game show selects four contestants from an audience of 26 people. If the same 26 people showed up, night after night, and no set of four contestants can be chosen more than once, how long (in years) would it take to select all possibilities? Assume the program is on five nights a week, 52 weeks a year, and that the order in which the contestants are chosen is important. 

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