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Консультация № 197226
27.11.2019, 10:09
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Здравствуйте! Прошу помощи в следующем вопросе:
Задача по комбинаторике. Каждый день мама выдает сыну по одному фрукту. Сколькими способами она может это сделать: 1) если у нее 2 яблока и 3 груши? 2) если у нее 2 яблока, 3 груши и 4 апельсина?
Задача по комбинаторике. Каждый день мама выдает сыну по одному фрукту. Сколькими способами она может это сделать: 1) если у нее 2 яблока и 3 груши? 2) если у нее 2 яблока, 3 груши и 4 апельсина?
Обсуждение
10.08.2022, 07:07
общий
10.08.2022, 07:18
это ответ
Здравствуйте, sasha181999_9!
При решении задач предложенного типа предполагается, что все яблоки одинаковые, все груши одинаковые, все апельсины одинаковые (если не указано иное). Используется формула для количества перестановок с повторениями. Тогда в первом случае искомое количество способов составляет
во втором случае -- 
При менее формальном подходе можно рассуждать так (рассмотрим, например, второй случай): мама может выдать сыну два яблока за девять дней
способами; три груши за оставшиеся семь дней -- 
способами; четыре апельсина за оставшиеся четыре дня -- одним способом 
Поэтому искомое количество способов во втором случае равно 
-- получили такой же результат, как и выше.
При решении задач предложенного типа предполагается, что все яблоки одинаковые, все груши одинаковые, все апельсины одинаковые (если не указано иное). Используется формула для количества перестановок с повторениями. Тогда в первом случае искомое количество способов составляет
во втором случае -- При менее формальном подходе можно рассуждать так (рассмотрим, например, второй случай): мама может выдать сыну два яблока за девять дней
способами; три груши за оставшиеся семь дней -- способами; четыре апельсина за оставшиеся четыре дня -- одним способом Поэтому искомое количество способов во втором случае равно -- получили такой же результат, как и выше.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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