in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a group of four students for a special project. 1. How many choices are there for the group? 2. In how many of these possibilities are all three dorms represented among members of the group? 3. What percentage of the total possibilities does the number in Part 2 amount to?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
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discrete math 

The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 9 live
in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a group of four
students for a special project.
1. How many choices are there for the group?
2. In how many of these possibilities are all three dorms represented among members of the group?
3. What percentage of the total possibilities does the number in Part 2 amount to?
Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the %
symbol in the box.
Transcribed Image Text:The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 9 live in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a group of four students for a special project. 1. How many choices are there for the group? 2. In how many of these possibilities are all three dorms represented among members of the group? 3. What percentage of the total possibilities does the number in Part 2 amount to? Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the % symbol in the box.
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