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Arranging Talent: Math Behind Performance Sequences
Chapter 4, Problem 6(choose chapter or problem)
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?
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.
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Arranging Talent: Math Behind Performance Sequences
Want To Learn More? To watch the entire video and ALL of the videos in the series:
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.