17. A city council consists of ten members. Four are Democrats and six are Republicans. A a. If one person on the council is chosen at random to draw the names out of a hat, committee of five to study transportation issues will be randomly selected. b. How many ways can the committee be formed if there are no restrictions on what is the probability that the person drawing the names is a Democrat? composition? C. How many ways can 3 Republicans be chosen? d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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17. A city council consists of ten members. Four are Democrats and six are Republicans. A
a. If one person on the council is chosen at random to draw the names out of a hat,
committee of five to study transportation issues will be randomly selected.
b. How many ways can the committee be formed if there are no restrictions on
what is the probability that the person drawing the names is a Democrat?
composition?
C. How many ways can 3 Republicans be chosen?
d. How many ways can 2 Democrats be chosen?
e. What is the probability that the random selection of the five-person committee will
result in 3 Republicans and 2 Democrats?
Transcribed Image Text:17. A city council consists of ten members. Four are Democrats and six are Republicans. A a. If one person on the council is chosen at random to draw the names out of a hat, committee of five to study transportation issues will be randomly selected. b. How many ways can the committee be formed if there are no restrictions on what is the probability that the person drawing the names is a Democrat? composition? C. How many ways can 3 Republicans be chosen? d. How many ways can 2 Democrats be chosen? e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats?
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