Be sure that you show all work step-by-step to reach the correct answer. Please do each step must be on a separate line for clarity. The method to reach the correct answer must be clear and include explanations when possible. Thanks. Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.1. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers.a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student?b. How many ways can the committee of four be formed if there are no restrictions on composition.c. How many ways can two of the students be chosen?d. How many ways can 2 faculty be chosen?e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?

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Answered: 1. A student-faculty government…

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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Be sure that you show all work step-by-step to reach the correct answer. Please do each step must be on a separate line for clarity. The method to reach the correct answer must be clear and include explanations when possible. Thanks.

Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.
1. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers.
a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student?
b. How many ways can the committee of four be formed if there are no restrictions on composition.
c. How many ways can two of the students be chosen?
d. How many ways can 2 faculty be chosen?
e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?

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