Question

Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, it was hit at least 60 times.

Answer 1

There is a period of 3 consecutive days in which the website was hits at least 60 times.

Explanation:

A web site was hit 300 times over a period of 15 days.

To solve this question we will use the Pigeonhole Principle.

Here, n = 300 and k = 5

We will find
`(n)/(k)` to get that there is a hole with at least
`(300)/(5)=60` pigeons.

Hence, there is a period of 3 consecutive days in which the website was hits at least 60 times.