{"paper":{"id":"site-2676","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":6,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-2676/zad/3233","paper_id":"site-2676","number":"3233","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Ile jest liczb naturalnych czterocyfrowych takich, że w ich zapisie dziesiętnym występuje jedna cyfra nieparzysta i trzy cyfry parzyste?","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-3233.svg","solution_image":"img/site/2676/rozw-3233.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2676/zad/3234","paper_id":"site-2676","number":"3234","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Ile jest liczb naturalnych dwucyfrowych podzielnych przez 15 lub 20?","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-3234.svg","solution_image":"img/site/2676/rozw-3234.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2676/zad/3235","paper_id":"site-2676","number":"3235","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Ile jest liczb naturalnych trzycyfrowych, w których cyfra dziesiątek jest o 2 większa od cyfry jedności?","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-3235.svg","solution_image":"img/site/2676/rozw-3235.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2676/zad/3236","paper_id":"site-2676","number":"3236","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Na jednej prostej zaznaczono 3 punkty, a na drugiej 4 punkty (patrzy rysunek). Ile jest wszystkich trójkątów, których wierzchołkami są trzy spośród zaznaczonych punktów?","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-3236.svg","solution_image":"img/site/2676/rozw-3236.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2676/zad/3251","paper_id":"site-2676","number":"3251","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Oblicz sumę wszystkich liczb trzycyfrowych zapisanych wyłącznie za pomocą cyfr wybranych ze zbioru {0,1,2,3}.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-3251.svg","solution_image":"img/site/2676/rozw-3251.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2676/zad/6754","paper_id":"site-2676","number":"6754","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Andrzej ma w szafie 4 koszule: czerwoną, żółtą, zieloną i niebieską; 3 pary spodni: niebieskie, czarne i szare; oraz 5 par butów: czarne, szare, zielone, czerwone i niebieskie. Andrzej wybiera z szafy zestaw ubrania: jedną koszulę, jedną parę spodni i jedną parę butów. Zestawy ubrania wybierane przez Andrzeja określimy jako różne, gdy będą różniły się kolorem chociaż jednego rodzaju elementu ubioru w zestawie. [rysunek] Oblicz, na ile sposobów można wybrać taki zestaw, w którym dokładnie jeden element ubioru będzie niebieski.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2676/zad-6754.svg","solution_image":"img/site/2676/rozw-6754.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}