The Super Bowl Showdown: Calculating the Perfect Lineup!

The Super Bowl halftime show is one of the most anticipated events of the year, featuring a spectacular lineup of world-famous artists. This year, 8 iconic performers, including top-charting stars, have been selected to entertain millions of fans. However, due to time constraints, only 3 artists can perform during the halftime show at a time. With so many possibilities, the organizers are brainstorming how to create the best combinations of performers.

Word Problem

For this year’s Super Bowl halftime show, the committee has shortlisted 8 performers: Beyoncé, Taylor Swift, Drake, Ed Sheeran, Adele, Bruno Mars, The Weeknd, and Dua Lipa. However, due to limited time, they can only allow 3 performers on stage at a time. Performers will be grouped into various lineups, and the sequence of their appearance during a single performance matters (since it determines the transitions between songs).

Question: How many different performance lineups of 3 artists can be created from a pool of 8 artists if the order of performers is important?

Options:
A) 210
B) 336
C) 512
D) 504

Explore more problems on this topic at Permutations and Combinations or sign up on LearnTheta’s AI-Powered Practice Platform.