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...
icon
Related questions
Question
100%
**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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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