A chamber of commerce election has 17 candidates for 10 positions. The election consists of two stages. In the first stage, there is an ordered election, with the president being selected first, followed by the vice-president, and then the treasurer, and finally the secretary. In the second stage, the remaining seats are considered 'at large' seats. All the remaining candidates are considered and the 'at large' seats are selected at the same time. How many possible board combinations are there?
A chamber of commerce election has 17 candidates for 10 positions. The election consists of two stages. In the first stage, there is an ordered election, with the president being selected first, followed by the vice-president, and then the treasurer, and finally the secretary. In the second stage, the remaining seats are considered 'at large' seats. All the remaining candidates are considered and the 'at large' seats are selected at the same time. How many possible board combinations are there?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
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A chamber of commerce election has 17 candidates for 10 positions. The election consists of two stages.
In the first stage, there is an ordered election, with the president being selected first, followed by the vice-president, and then the treasurer, and finally the secretary.
In the second stage, the remaining seats are considered 'at large' seats. All the remaining candidates are considered and the 'at large' seats are selected at the same time.
How many possible board combinations are there?
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