Problem of the Week...

1. Haftanın sorusu:Hacettepe Üniversitesi Matematik Bölümü web sayfasını açan kırmızı renkli şekil hangi fonksiyonun grafiğidir? Answer : Kenan Ağtaş (H.Ü. Computer Lab. Assistant).

2. Question of this week: Josephus Problem: In a revolt Josephus and 39 of his men were holding out against his enemies in a cave. With defeat imminent, they resolved that they would rather die than be slaves to the enemy. They decided to arrange themselves in a circle. One man designated as number one, and they proceeded clockwise around the circle of 40 men, killing every 7th man. Josephus was an accomplished mathematician; so Josephus instantly figured out where he ought to sit in order to be last to go. But when the time came, instead of killing himself he joint the enemy. Now what is the order of Josephus so that he lived to write his famous book : The Antiquities and The War?
Answer: Erhan Tamer(H.Ü. Math.Dept.1999 Graduate)

3. The marriage Problem: Suppose we have four women and four men. Some of those sixteen couples are compatible, others regrettably are not.When is it possible to find a complete matching, with everyone married?

4.One of my students, Erhan Tamer asks the following question this week:
Person S is given a number and told that it = a + b.
Person P is given a number and told that it = a * b.
They are both told that a and b are integers between 2 and 100 inclusive.
The following conversation takes place:
P says "I don't know a and b."
S says "I knew you didn't know."
P says, "In that case,now I do know a and b."
S says, "So do I."
What are a and b?

Answer to: harmanci@hacettepe.edu.tr

Cevabı harmanci@hacettepe.edu.tr' a gönderiniz.