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...
icon
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 [_________].
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


steps

Step by step

Solved in 6 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON