Question 48

Challenge question #48 (10/04/2017)

Junior Question

How many different ways are there of seating $4$ married couples at a circular table, with men and women in alternate positions and no wife next to her husband?

(Two seating arrangements are the same if each person has the same right and left hand neighbours.)

Answer

Senior Question

Prove that $\sqrt{5}-\sqrt{2}$ is irrational.

Hint