MathDB

6

Part of 2007 Estonia Math Open Senior Contests

Problems(1)

bluetooth network consisting of 1 master and many connected slaves.

Source: 2007 Estonia Open Olympiad Senior

3/27/2020
A Bluetooth device can connect to any other Bluetooth device that is not more than 1010 meters from him. A piconet is called a bluetooth network consisting of one master and a plurality of connected slaves. What is the greatest number of slaves, what can be on the pickup provided that all devices are on the same level and all slaves are out of range of each other?
combinatorics