Choosing officers: A committee consists of eight women and ten men. Three committee members will be chosen as officers. Part: 0/4 Part 1 of 4 How many different choices are possible? There are Part: 174 Part 2 of 4 There are Part: 2/4 How many different choices are possible if all the officers are to be women? Part 3 of 4 WAR There are different possible choices. Part: 3/4 How many different choices are possible if all the officers are to be men? different choices possible if all the officers are to be men. Part 4 of 4 Ď different choices possible if all the officers are to be women. The probability that all the officers are women is X X $ X What is the probability that all the officers are women? Round your answers to at least 4 decimal places. 5 5
Choosing officers: A committee consists of eight women and ten men. Three committee members will be chosen as officers. Part: 0/4 Part 1 of 4 How many different choices are possible? There are Part: 174 Part 2 of 4 There are Part: 2/4 How many different choices are possible if all the officers are to be women? Part 3 of 4 WAR There are different possible choices. Part: 3/4 How many different choices are possible if all the officers are to be men? different choices possible if all the officers are to be men. Part 4 of 4 Ď different choices possible if all the officers are to be women. The probability that all the officers are women is X X $ X What is the probability that all the officers are women? Round your answers to at least 4 decimal places. 5 5
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...
Related questions
Question
![**Choosing Officers:**
A committee consists of eight women and ten men. Three committee members will be chosen as officers.
### Part 1 of 4
**Question:**
How many different choices are possible?
**Answer:**
There are [_________] different possible choices.
### Part 2 of 4
**Question:**
How many different choices are possible if all the officers are to be women?
**Answer:**
There are [_________] different choices possible if all the officers are to be women.
### Part 3 of 4
**Question:**
How many different choices are possible if all the officers are to be men?
**Answer:**
There are [_________] different choices possible if all the officers are to be men.
### Part 4 of 4
**Question:**
What is the probability that all the officers are women? Round your answers to at least 4 decimal places.
**Answer:**
The probability that all the officers are women is [_________].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18084dd8-0cd2-4e08-bd77-001f2ce4ed48%2F8740b5c3-b9a4-4ce2-be52-0dde16a63295%2Fproypki_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Choosing Officers:**
A committee consists of eight women and ten men. Three committee members will be chosen as officers.
### Part 1 of 4
**Question:**
How many different choices are possible?
**Answer:**
There are [_________] different possible choices.
### Part 2 of 4
**Question:**
How many different choices are possible if all the officers are to be women?
**Answer:**
There are [_________] different choices possible if all the officers are to be women.
### Part 3 of 4
**Question:**
How many different choices are possible if all the officers are to be men?
**Answer:**
There are [_________] different choices possible if all the officers are to be men.
### Part 4 of 4
**Question:**
What is the probability that all the officers are women? Round your answers to at least 4 decimal places.
**Answer:**
The probability that all the officers are women is [_________].
Expert Solution

Step 1: Given :
No.of womens=8
No.of mens=10
Total no.of persons=18
Step by step
Solved in 6 steps with 5 images

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