(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Fifty gangsters on a field are shooting each other simulteneously.Assume that

i.Gangsters are points on the plane.

ii.Gangsters don't miss,so once he shoots at someone,the target is killed.

iii.Each gangster shoots the one that is closest to him(or any of the closest ones if they are on same distance from him)

What is the minimal number of dead bodies?They shoot each other just once,all fifty at the same moment.Guess the answer and then try to prove it.

3. The attempt at a solution

I divided 50 gansters to 5 groups.In each group only 2 gansters in the center of circle are dying(see picture).With arrows I showed direction of shooting.So my answer is only 10 gansters.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Question involving some reasoning.

**Physics Forums | Science Articles, Homework Help, Discussion**