Vrijeme: 10:05
Mentorski snovi | Dreams of five mentors #1
Nakon napornog čuvanja djece na ljetnom kampu mladih matematičara mentori: Nika, Adian, Simeon, Mislav i Stella žele spavati. Kako bi zaspali odlučili su brojiti ovce.
U Nikinome snu ovce su malo "veselije". Nika jako voli svoje ovčice i svakoj je (od njih
) dala ime (kako bi ih razlikovala).
Ovce su tijekom cijelog njezinog sna plesale kolo na pjesme koje je DJ Nika puštala.
Ovce su na neku pjesmu plesale tako da ih se po
rasporedi u dva kola. Jedno kolo pleše oko Emanuela, drugo kolo pleše oko Hrvoja. Svakoj pjesmi je odgovarao jedinstveni raspored ovaca.
Koliko je pjesama sviralo ako je Nika vidjela svaki mogući raspored ovaca?
Napomena: kolo se pleše u određenom smjeru gledano s neba.
U Nikinome snu ovce su malo "veselije". Nika jako voli svoje ovčice i svakoj je (od njih
) dala ime (kako bi ih razlikovala). Ovce su tijekom cijelog njezinog sna plesale kolo na pjesme koje je DJ Nika puštala.
Ovce su na neku pjesmu plesale tako da ih se po
rasporedi u dva kola. Jedno kolo pleše oko Emanuela, drugo kolo pleše oko Hrvoja. Svakoj pjesmi je odgovarao jedinstveni raspored ovaca. Koliko je pjesama sviralo ako je Nika vidjela svaki mogući raspored ovaca?
Napomena: kolo se pleše u određenom smjeru gledano s neba.
After the hard work of babysitting at the summer camp for young mathematicians, the mentors: Nika, Adian, Simeon, Mislav and Stella want to sleep. In order to fall asleep, they decided to count sheep.
In Niki's dream, the sheep are a little "cheerier". Nika loves her sheep very much and gave each one of them () a name (to distinguish them).
Throughout her sleep, the sheep danced round to the songs that DJ Nika played.
The sheep danced to a song so that they were divided into two rounds for each. One round is dancing around Emanuel and the other round is dancing around Hrvoje. Each song was matched by a unique arrangement of sheep.
How many songs were played if Nika saw every possible arrangement of sheep?
Note: the round dance is danced clockwise looking from the sky.
In Niki's dream, the sheep are a little "cheerier". Nika loves her sheep very much and gave each one of them (
) a name (to distinguish them). Throughout her sleep, the sheep danced round to the songs that DJ Nika played.
The sheep danced to a song so that they were divided into two rounds for
each. One round is dancing around Emanuel and the other round is dancing around Hrvoje. Each song was matched by a unique arrangement of sheep. How many songs were played if Nika saw every possible arrangement of sheep?
Note: the round dance is danced clockwise looking from the sky.