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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.

Respuesta :

Answer:

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

Step-by-step 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 [tex]\frac{n}{k}[/tex] to get that there is a hole with at least [tex]\frac{300}{5}=60[/tex] pigeons.

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