The+Pig+Problem

A farmer has 22 pigs. He lives in a house surrounded by eight fields. Each wall of the house has a window through which three fields only can be observed.

One day the farmer notices he can see a total of nine pigs no matter which window he looks through.

Arrange the pigs so you can see what the farmer saw.



RULES

- Pigs are not allowed in the house - No pigs are to be given away - Pigs do not sit on fences - It is illegal to have the head in one field and the tail in the other

Questions!! 1. Do there need to be pigs in every field? 2. How many possible answers are there? 3. How many pigs could you have and still see nine from each window? 4. Is there a maximum number of pigs for Q3? 5. Can you have empty fields?