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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must...
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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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