Problem K. 448. (January 2015)
K. 448. There are four discs on a carousel, arranged as shown in the diagram. In how many ways is it possible to colour the four discs with four colours, given that colourings obtained from each other by rotating the carousel around its midpoint in its plane are not considered different? Any colour may be chosen for any disk, but each disc is only allowed to have a single colour.
Deadline expired on February 10, 2015.
79 students sent a solution. 6 points: Agócs Katinka, Bärnkopf Teréz, Dévény Csaba, Dömötör Emőke, Farkas Lilla, Fazekas 15 Levente, Fekete Balázs Attila, Harsányi Benedek, Hegedűs 330 Marcell, Márton Anna, Nagy Marcell, Németh Csilla Márta, Oravecz Janka Éva, Páhoki Tamás, Papp 149 Emese, Sisák László Sándor, Szarka Álmos, Sziráki Boglárka Tünde, Tamási Kristóf Áron, Thuróczy Mylan, Tószegi Fanni, Wenczel Kata. 5 points: Braun Dániel, Cselovszki Tamás, János Zsuzsa Anna, Járomi Bence, Koronczi Fanni, Mészáros Melinda, Mihályházi Péter, Szakali Benedek, Walter Anna. 4 points: 12 students. 3 points: 4 students. 2 points: 2 students. 1 point: 17 students. 0 point: 10 students. Unfair, not evaluated: 3 solutions.