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The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 12 li in Harley Hall, 10 live in Kieffer Hall, and 8 live in Naugle Hall. The professor wants to form a group of for 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?

The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 12 li in Harley Hall, 10 live in Kieffer Hall, and 8 live in Naugle Hall. The professor wants to form a group of for 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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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discrete math

The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 12 live in Harley Hall, 10 live in Kieffer Hall, and 8 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?
Transcribed Image Text:The thirty students in a certain discrete mathematics class all live in one of three dorms on campus: 12 live in Harley Hall, 10 live in Kieffer Hall, and 8 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?
A bag contains 25 marbles: 4 are red, 9 are green, and 12 are blue. You reach in and pull out a sample of 6 marbles. 1. In how many ways can this sample of 6 marbles be taken (how many different samples are there)? 2. In how many of these samples are all the marbles the same color? 3. In how many of these samples are there exactly two red and two green marbles? 4. In how many of these samples do at least two different colors appear?
Transcribed Image Text:A bag contains 25 marbles: 4 are red, 9 are green, and 12 are blue. You reach in and pull out a sample of 6 marbles. 1. In how many ways can this sample of 6 marbles be taken (how many different samples are there)? 2. In how many of these samples are all the marbles the same color? 3. In how many of these samples are there exactly two red and two green marbles? 4. In how many of these samples do at least two different colors appear?
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