5. A service organization on campus needs a group of six students from their organization's membership of 123 students to serve as program attendants at graduation. In how many ways can the attendants be chosen?
5. A service organization on campus needs a group of six students from their organization's membership of 123 students to serve as program attendants at graduation. In how many ways can the attendants be chosen?
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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![**Problem 5:**
A service organization on campus needs a group of six students from their organization’s membership of 123 students to serve as program attendants at graduation. In how many ways can the attendants be chosen?
*Explanation:*
To solve this, we use combinations since the order of selection does not matter. The formula for combinations is:
\[
\binom{n}{r} = \frac{n!}{r!(n-r)!}
\]
Where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose. Apply this to find the number of ways to choose six students from 123.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F151256dd-d6d4-4ed4-a322-9c74fbc712af%2F87c740f7-f11f-47b7-a8fb-8998513d6f83%2Fwtpbdb_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5:**
A service organization on campus needs a group of six students from their organization’s membership of 123 students to serve as program attendants at graduation. In how many ways can the attendants be chosen?
*Explanation:*
To solve this, we use combinations since the order of selection does not matter. The formula for combinations is:
\[
\binom{n}{r} = \frac{n!}{r!(n-r)!}
\]
Where \( n \) is the total number of items to choose from, and \( r \) is the number of items to choose. Apply this to find the number of ways to choose six students from 123.
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