Editing MathematicalMovingChairs
You are currently browsing as guest..
To change this, fill in the following fields:
Username
Password
Click here to reset your password
Who can read this page?
The World
Members
Council
Admin
You have been granted an edit lock on this page
until Fri Apr 19 08:28:08 2024.
Press
to finish editing.
Who can edit this page?
World editing disabled
Members
Council
Admin
[[[> | Number of people -> ---- Multiply by ... | 6 | 7 | 8 | 9 | 10 | ... | | 2 | . ? . | . ? . | . ? . | . ? . | . ? . | | 3 | . ? . | . ? . | . ? . | . ? . | . ? . | | 4 | . ? . | . ? . | . ? . | . ? . | . ? . | | 5 | . ? . | . ? . | . ? . | . ? . | . ? . | | 6 | . ? . | . ? . | . ? . | . ? . | . ? . | | ... | ]]] Suppose we have 8 people in chairs numbered 0 to 7. Each person multiplies their seat number by 5, divides by 8 (being the number of people) and keeps the remainder. That's their new seat. Do they all go to different seats? * What about with 9 people? * What about 10 people? * What about 11 people? * What if we multiply by 4? * ... or by 5? * ... or by 6? When does it work? And why? ---- This is intimately related to Modulo Arithmetic. ---- One of the enrichment tasks on this web site. ---- CategoryMaths