Arranging Talent: Math Behind Performance Sequences

Chapter 4, Problem 6

(choose chapter or problem)

Get Unlimited Answers! Check out our subscriptions
QUESTION:

Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands?

Watch The Answer!

Arranging Talent: Math Behind Performance Sequences
Stars

Want To Learn More? To watch the entire video and ALL of the videos in the series:

Add to cart

Explore the fascinating world of permutations to determine the number of possible arrangements for a talent show. Learn how constraints change the number of valid sequences and delve into combinatorial techniques.

Not The Solution You Need? Search for Your Answer Here:

Questions & Answers

QUESTION:

Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands?

ANSWER:

Step 1 of 3

In the problem, we are asked to find two numbers:

1. number of possible orders of the 5 performers - 3 bands and 2 comics

2. number of orders of the performers such that comics come in between bands

To find these numbers, use the permutation rule and the counting rule.

Add to cart


Study Tools You Might Need

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back