The number of countries is 194 Assume the airplane carries s

The number of countries is 194. Assume the airplane carries six hundred passengers. Prove that among 600 passengers, at least one country is represented by at least four passengers.

Solution

Given

Number of countries = 194

Number of passengers in airplane = 600

Let us assume that 3 passengers are in airplane from each country.

By this the total number of passengers from 194 countries = 194*3 = 582 passengers

Thus, there are 600 - 582 = 18 pasengers present after each country has 3 passengers in airplane.

These 18 passengers are from any of 194 countries.Thus number of passengers from any of 194 countries is morethan 3. So, any of 194 countries has atleast 4 passengers in the airplane.