Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how many different ways can the nine candidates be lined up? How many lineups by party are possible if each candidate is labeled either R or D? For each of the nine candidates, you are to decide whether the candidate did a good job or a poor job; that is, give each of the nine candidates a grade of Gor P. How many different "score cards" are possible?

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 8T
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Question
Among nine presidential candidates at a debate, three are Republicans and six are
Democrats.
In how many different ways can the nine candidates be lined up?
How many lineups by party are possible if each candidate is labeled either
R or D?
For each of the nine candidates, you are to decide whether the candidate did a
good job or a poor job; that is, give each of the nine candidates a grade of G or
P. How many different "score cards" are possible?
Transcribed Image Text:Among nine presidential candidates at a debate, three are Republicans and six are Democrats. In how many different ways can the nine candidates be lined up? How many lineups by party are possible if each candidate is labeled either R or D? For each of the nine candidates, you are to decide whether the candidate did a good job or a poor job; that is, give each of the nine candidates a grade of G or P. How many different "score cards" are possible?
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