Marinada '22

[lang=hr] Nakon što je napokon, nakon puno razmišljanja, odlučio kojim redoslijedom želi rješavati tih 7 zadataka u skupini, Matej je shvatio kako su organizatori Pašticade pomalo zbunjeni: naime, u toj skupini tri puta se ponovio identičan zadatak. Kako Matej nikako ne može razlikovati dva zadatka koja su potpuno jednaka, shvatio je kako je njegov prijašnji izračun pogrešan. Na koliko načina (tj. u koliko različitih poredaka) Matej zapravo može riješiti zadatke? (Matej će svejedno riješiti svih 7 zadataka iako su neki međusobno jednaki.) [/lang] [lang=en] When he had finaly, after a lot of thought, decided on order in which he'll do the problems, Matej noticed that Pašticada organizers did clumsy job: in the group of 7 problems there were 3 identical ones. Since there is no way Matej could tell the difference between identical problems, he realized that his first calculation was off. How many possible orders to solve the problems are there really? (Matej will solve all 7 problems regardless of the fact that some are identical.) [/lang]