Question

Ahmed, Brian, Chloe, Danielle, Ethel, Francis and George have to choose a Form Captain from among themselves. They decide to stand in a circle, in alphabetical order, and to count round (in the same order) rejecting every third person they come to; that person then leaves the circle. The last one left is to be Form Captain. Ahmed is eventually elected Form Captain. Where must the counting have started? $A$ Ahmed $\quad B$ Brian $\quad C$ Danielle $\quad D$ Ethel $\quad E$ George

   Ahmed, Brian, Chloe, Danielle, Ethel, Francis and George have to choose a Form Captain from among themselves. They decide to stand in a circle, in alphabetical order, and to count round (in the same order) rejecting every third person they come to; that person then leaves the circle. The last one left is to be Form Captain. Ahmed is eventually elected Form Captain. Where must the counting have started?
$A$ Ahmed $\quad B$ Brian $\quad C$ Danielle $\quad D$ Ethel $\quad E$ George
Show more…
Mathematical Challenge
Mathematical Challenge
Tony Gardiner 1st Edition
Chapter 5, Problem 17 ↓

Instant Answer

verified

Step 1

The participants are Ahmed (A), Brian (B), Chloe (C), Danielle (D), Ethel (E), Francis (F), and George (G). They are arranged in alphabetical order: A, B, C, D, E, F, G.  Show more…

Show all steps

lock
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Ahmed, Brian, Chloe, Danielle, Ethel, Francis and George have to choose a Form Captain from among themselves. They decide to stand in a circle, in alphabetical order, and to count round (in the same order) rejecting every third person they come to; that person then leaves the circle. The last one left is to be Form Captain. Ahmed is eventually elected Form Captain. Where must the counting have started? $A$ Ahmed $\quad B$ Brian $\quad C$ Danielle $\quad D$ Ethel $\quad E$ George
Close icon
Play audio
Feedback
Powered by NumerAI
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever