An organization has 14 math majors, 12 computer science majors, and 7 education majors among its 33 total students. (There are no double majors in this orgnazation.) They wish to designate a fund-raising committee consisting of 3 members. 1. How many choices are there for the fund-raising committee? 5456 2. In how many possible committees are all the members majoring in computer science? 220 OT 3. In how many possible committees are all three majors represented among the members? 33 X OF 1176

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 53SE: Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can...
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please explain the #3

**Committee Selection for an Educational Organization**

An organization has the following student major distribution among its 33 total students:

- 14 math majors
- 12 computer science majors
- 7 education majors

(Note: There are no double majors in this organization.)

The organization aims to form a fund-raising committee consisting of 3 members. Here are some related queries and solutions:

1. **How many choices are there for the fund-raising committee?**
   - Solution: 5456 (Correct)

2. **In how many possible committees are all the members majoring in computer science?**
   - Solution: 220 (Correct)

3. **In how many possible committees are all three majors represented among the members?**
   - Initial Attempt: 33 (Incorrect)
   - Correct Solution: 1176

This exercise helps determine the number of ways to select committee members based on different criteria using combinatorial mathematics.
Transcribed Image Text:**Committee Selection for an Educational Organization** An organization has the following student major distribution among its 33 total students: - 14 math majors - 12 computer science majors - 7 education majors (Note: There are no double majors in this organization.) The organization aims to form a fund-raising committee consisting of 3 members. Here are some related queries and solutions: 1. **How many choices are there for the fund-raising committee?** - Solution: 5456 (Correct) 2. **In how many possible committees are all the members majoring in computer science?** - Solution: 220 (Correct) 3. **In how many possible committees are all three majors represented among the members?** - Initial Attempt: 33 (Incorrect) - Correct Solution: 1176 This exercise helps determine the number of ways to select committee members based on different criteria using combinatorial mathematics.
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