Question
upstudy study bank question image url

There are 6 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances? \( \square \) ways (Type a whole number.)

Ask by Bob Fleming. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

There are 120 different ways to schedule the performances.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To find the number of different ways to schedule the performances with one specific performer (let's call this performer A) insisting on being last, we can consider the other 5 performers (B, C, D, E, and F). Since performer A is fixed in the last position, we only need to arrange the other 5 performers. The number of arrangements of 5 performers is calculated as \(5!\) (5 factorial), which is: \[ 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \] Thus, there are \(120\) different ways to schedule the appearances. 120 ways

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy