Har en artig tenke oppgave her

[olemedkrutt]

Once upon a time there was a monastery in which lived several monks. One day a monk from another place came to the monastery, gathered all the monks and said to them:

 

"Dear friends, i'm afraid i have bad news. I've been told that some of you are infected with a mortal disease. Whoever is infected has a red dot behind the neck and the disease is not contagious. I won't tell who is infected and i ask you to do the same. So, from now on, i ask you not to communicate with each other in any kind of way. I also know that this monastery doesn't have any kind of mirror so you won't be able to see if you have the red mark. But being brilliant logicians as you are i propose the following: each day you will meet by the afternoon where you can look at each other and at night you will each go to your private rooms. If you are positive you are infected you leave the monastery during the night. I'm confident about your success. Farewell my friends!"

 

And so the monks did!

- In the 1st day the monks gathered in the afternoon and at night went to their rooms and none left the monastery

- In the 2nd day the monks gathered in the afternoon and at night went to their rooms and none left the monastery

- In the 3rd day the monks gathered in the afternoon and at night went to their rooms and all who were infected left the monastery

 

How many monks were infected? What was their reasoning?

[Sindrelol]

wtf? ;p Den var vanskelig.

[ⅵdar]

Taktikken var at første kvelden ser man om det er kun er en munk som har prikk. det oppdager man ved å se om man finner andre med prikker. Om man ikke finner noen andre, en man smittet selv og man forlater stedet.

 

Andre kvelden ser man etter om det er to munker som er smittet. Om man finner bare en prikk er man smittet selv og forlater stedet sammen med den andre som har prikk.

 

tredje kvelden ser man etter to prikker. om man finner kun to prikker er man også smittet selv og forlater stedet sammen med de to andre som også er smittet.

Med andre ord var det tre munker som var smitet.

[sim]

Jeg tror premium tok den. Fler oppgaver?