Question

In a city each person has at least one hair on his her head at lest two person in this city are guaranteed to have exactly the same number of hair on their heads if the population of city ?

Answer 1

Given :  In a city each person has at least one hair on his her head

To find : population of city to guarantee at lest two person  to have exactly the same number of hair on their heads

Solution:

To answer this Question we must be knowing the maximum number of Hairs  on head of a person

Let say Maximum number of hair on head is H

Then Population of city should be H + 1  and it will guarantee that at least two person have exactly the same number of Hair on their heads

as in worst case scenario  each individual having different number of hairs from 1 to H  will be H people

now H + 1 th people will be having hair one of 1 to H hair and

will make atleast two people will having same number of hairs on Head

1 person more than maximum number of hair on head  will guarantee to have at lest two person in this city exactly the same number of hair on their heads

Population of city :   1 person more than  maximum number of Hairs

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