You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can you make this committee? b. How many ways can you make the committee if there must be 2 men on the committee? c. How many ways can you make the committee if there must be either 1 or 2 women on the committee? d. How many ways can you make the committee so that there is at least one woman on the committee? [Hint: What is the only other option to having at least one woman?]
You must make a committee of 5 from a group of 20 people, 12 women and 8 men. a. How many ways can you make this committee? b. How many ways can you make the committee if there must be 2 men on the committee? c. How many ways can you make the committee if there must be either 1 or 2 women on the committee? d. How many ways can you make the committee so that there is at least one woman on the committee? [Hint: What is the only other option to having at least one woman?]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![You must make a committee of 5 from a group of 20 people, 12 women
and 8 men.
a. How many ways can you make this committee?
b. How many ways can you make the committee if there must be 2
men on the committee?
c. How many ways can you make the committee if there must be
either 1 or 2 women on the committee?
d. How many ways can you make the committee so that there is at
least one woman on the committee? [Hint: What is the only
other option to having at least one woman?]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29b2b324-5777-4e86-8949-1856ae23b158%2F5670cbcf-99cf-41de-87b3-8c99f792cbdd%2Fwf05hur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You must make a committee of 5 from a group of 20 people, 12 women
and 8 men.
a. How many ways can you make this committee?
b. How many ways can you make the committee if there must be 2
men on the committee?
c. How many ways can you make the committee if there must be
either 1 or 2 women on the committee?
d. How many ways can you make the committee so that there is at
least one woman on the committee? [Hint: What is the only
other option to having at least one woman?]
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