There are 6 candidates running in a Presidential primary. After each primary, two of the candidates will withdraw, except for the last one, when the winner becomes the nominee. (a) The first primary has all 6 candidates. In how many ways could the 6 candidates finish the race? (b) The second primary will only have the top 4 finishers from the first race. How many ways could the 4 candidates finish the second race? (c) The third primary only has the 2 remaining candidates. How many ways could this race finish?
There are 6 candidates running in a Presidential primary. After each primary, two of the candidates will withdraw, except for the last one, when the winner becomes the nominee. (a) The first primary has all 6 candidates. In how many ways could the 6 candidates finish the race? (b) The second primary will only have the top 4 finishers from the first race. How many ways could the 4 candidates finish the second race? (c) The third primary only has the 2 remaining candidates. How many ways could this race finish?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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There are 6 candidates running in a Presidential primary. After each primary, two of the candidates will withdraw, except for the last one, when the winner becomes the nominee.
(a) The first primary has all 6 candidates. In how many ways could the 6 candidates finish the race?
(b) The second primary will only have the top 4 finishers from the first race. How many ways could the
4 candidates finish the second race?
(c) The third primary only has the 2 remaining candidates. How many ways could this race finish?
(d) Use your answers to parts (a)-(c) to calculate the total number of ways the primaries could play out (that is, how many different ways could the candidates win/lose in the primary)?
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