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Консультация № 197241
27.11.2019, 10:20
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Здравствуйте! Прошу помощи в следующем вопросе:
Задача по комбинаторике. В магазине продается апельсиновый, виноградный, персиковый и яблочный соки. Нужно купить 7 пакетов сока. а) Сколькими способами это можно сделать?
б) Сколькими способами их можно выложить в ряд на полке, если известно, что из семи пакетов – 3 апельсиновых, 2 виноградных, 1 персиковый и 1 яблочный?
Задача по комбинаторике. В магазине продается апельсиновый, виноградный, персиковый и яблочный соки. Нужно купить 7 пакетов сока. а) Сколькими способами это можно сделать?
б) Сколькими способами их можно выложить в ряд на полке, если известно, что из семи пакетов – 3 апельсиновых, 2 виноградных, 1 персиковый и 1 яблочный?
Обсуждение
06.08.2022, 06:49
общий
это ответ
Здравствуйте, sasha181999_9!
а) Требуется вычислить количество комбинаций по
элементов с повторениями из множества, в котором содержится 
элемента. Согласно известной формуле, это количество составляет 
б) Расставить три пакета с апельсиновым соком по семи местам можно
способами. Расставить два пакета с виноградным соком по пяти оставшимся местам можно 
способами. Поставить на одно из двух оставшихся мест пакет с персиковым соком можно двумя способами. На единственное оставшееся место можно поставить пакет с яблочным соком одним способом. Значит, выложить упомянутые пакеты в ряд на полке можно 
способами.
а) Требуется вычислить количество комбинаций по
элементов с повторениями из множества, в котором содержится элемента. Согласно известной формуле, это количество составляет б) Расставить три пакета с апельсиновым соком по семи местам можно
способами. Расставить два пакета с виноградным соком по пяти оставшимся местам можно способами. Поставить на одно из двух оставшихся мест пакет с персиковым соком можно двумя способами. На единственное оставшееся место можно поставить пакет с яблочным соком одним способом. Значит, выложить упомянутые пакеты в ряд на полке можно способами.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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