A chamber of commerce election has 18 candidates for 7 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 18 candidates for 7 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?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:A chamber of commerce election has 18 candidates
for 7 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?
1,113,840 margin of error +/- 2.5%
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