Kennedy High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. People interested Faculty member Mrs. Gonzales, Ms. Walker, Mr. Simmons, Dr. Thompson Male student Kevin, Rafael, Justin, Abdul, Alonzo Female student Heather, Lena, Melissa, Laura, Salma Parent Dr. Johnson, Mrs. Campbell, Dr. Bailey, Mr. Nelson Based on this list, how many ways are there to fill the four committee positions? Position
Kennedy High School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. People interested Faculty member Mrs. Gonzales, Ms. Walker, Mr. Simmons, Dr. Thompson Male student Kevin, Rafael, Justin, Abdul, Alonzo Female student Heather, Lena, Melissa, Laura, Salma Parent Dr. Johnson, Mrs. Campbell, Dr. Bailey, Mr. Nelson Based on this list, how many ways are there to fill the four committee positions? Position
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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![**Selecting a Committee at Kennedy High School**
Kennedy High School is going to select a committee. The committee will consist of a faculty member, a male student, a female student, and a parent.
### Positions and Interested Individuals
The table below lists the positions and the individuals who have shown interest in each:
| **Position** | **People Interested** |
|--------------------|----------------------------------------------------------------|
| Faculty member | Mrs. Gonzales, Ms. Walker, Mr. Simmons, Dr. Thompson |
| Male student | Kevin, Rafael, Justin, Abdul, Alonzo |
| Female student | Heather, Lena, Melissa, Laura, Salma |
| Parent | Dr. Johnson, Mrs. Campbell, Dr. Bailey, Mr. Nelson |
Based on this list, how many ways are there to fill the four committee positions?
*Input Box for Answer*
**Explanation of Diagram**
There is a table provided that clearly outlines the positions within the committee and lists the names of individuals interested in each position.
**Calculation**
To calculate the number of ways to fill the four committee positions, you will multiply the number of interested individuals per position together:
1. Faculty member: 4 individuals
2. Male student: 5 individuals
3. Female student: 5 individuals
4. Parent: 4 individuals
Thus, the formula is:
\[ 4 \times 5 \times 5 \times 4 = 400 \]
There are 400 possible ways to fill the four committee positions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbae73a37-719e-4892-8745-1f816a181ea7%2F37d36e94-1d2e-44ab-8b40-ef39e77b53a1%2Fj7q8i7o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Selecting a Committee at Kennedy High School**
Kennedy High School is going to select a committee. The committee will consist of a faculty member, a male student, a female student, and a parent.
### Positions and Interested Individuals
The table below lists the positions and the individuals who have shown interest in each:
| **Position** | **People Interested** |
|--------------------|----------------------------------------------------------------|
| Faculty member | Mrs. Gonzales, Ms. Walker, Mr. Simmons, Dr. Thompson |
| Male student | Kevin, Rafael, Justin, Abdul, Alonzo |
| Female student | Heather, Lena, Melissa, Laura, Salma |
| Parent | Dr. Johnson, Mrs. Campbell, Dr. Bailey, Mr. Nelson |
Based on this list, how many ways are there to fill the four committee positions?
*Input Box for Answer*
**Explanation of Diagram**
There is a table provided that clearly outlines the positions within the committee and lists the names of individuals interested in each position.
**Calculation**
To calculate the number of ways to fill the four committee positions, you will multiply the number of interested individuals per position together:
1. Faculty member: 4 individuals
2. Male student: 5 individuals
3. Female student: 5 individuals
4. Parent: 4 individuals
Thus, the formula is:
\[ 4 \times 5 \times 5 \times 4 = 400 \]
There are 400 possible ways to fill the four committee positions.
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