Solving Statistics Problem: Proving at Least 2 People with Same Hair Count

[Taturana]

Homework Statement

There is a city with 10 million people and an average human has 110 000 hairs. Prove that there is at least 2 people with the same amount of hair.

The Attempt at a Solution

I really have no idea of how to even start solving this problem. Sorry.

Also, sorry for the bad english.

 

[Ray Vickson]

Homework Statement

There is a city with 10 million people and an average human has 110 000 hairs. Prove that there is at least 2 people with the same amount of hair.

The Attempt at a Solution

I really have no idea of how to even start solving this problem. Sorry.

Also, sorry for the bad english.

Is it possible to have 10 million people, all of whom have different numbers of hairs?

RGV

 

[tiny-tim]

Hi Taturana!

See http://en.wikipedia.org/wiki/Pigeonhole_principle