Marinada '24

[lang=hr] Rješivši to bitno pitanje, Broz je shvatio da bi bilo dobro da nove goste i posluži. Jedini je problem što mu se nije dalo ustati i otići do njih, pa ih je pozvao do šanka. Naša su se desetorica poredala jedan iza drugog i jedan po jedan naručivali. Kako bi se iskupio za svoju lijenost, Josip je svakome gostu odlučio pokloniti nekoliko bijelih ljubičica. Na koliko načina Broz to može učiniti ako svaka osoba na parnoj poziciji u redu mora dobiti jednu ljubičicu više nego osoba ispred nje (dakle druga osoba jednu više nego prva, četvrta jednu više nego treća itd.), ne mora svatko dobiti ljubičicu, a Broz dijeli ukupno 47 bijelih ljubičica? [/lang] [lang=en] Having solved this important matter, Broz realized it would be a good idea to serve his new guests. The only problem was that he didn’t feel like getting up and going to them, so he called them over to the bar. The ten guests lined up one behind the other, each ordering in turn. To make up for his laziness, Josip decided to gift each guest a few white violets. In how many ways can Broz do this if every person in an even position in the line must receive one more violet than the person in front of them (i.e., the second person gets one more than the first, the fourth gets one more than the third, and so on), not everyone has to get a violet, and Broz is giving out a total of 47 white violets? [/lang]