# Question: a city has a population of about 830000 each human...

###### Question details

A city has a population of about 830,000. Each human head has no more than 200,000 strands of hair.

(a) Prove there are at least 2 people in the city with exactly the same number of hairs.

(b) Prove there are at least 3 people in the city with exactly the same number of hairs.

(c) What is the largest number n where you can prove there must be at least n people with exactly the same number of hairs?