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Консультация № 197231
27.11.2019, 10:13
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Задача по комбинаторике. 6 ящиков различных материалов доставляются на 8 этажей стройки. 1) Сколькими способами можно распределить материалы по этажам? 2) В скольких вариантах на 8-й этаж будет доставлено не менее 2-х материалов?
Задача по комбинаторике. 6 ящиков различных материалов доставляются на 8 этажей стройки. 1) Сколькими способами можно распределить материалы по этажам? 2) В скольких вариантах на 8-й этаж будет доставлено не менее 2-х материалов?
Обсуждение
08.08.2022, 07:19
общий
это ответ
Здравствуйте, sasha181999_9!
1) Каждый из шести ящиков с различными материалами может быть доставлен на любой из восьми этажей стройки. Поэтому искомое количество способов составляет
2) Количество способов доставки ящиков по этажам стройки, при которых на восьмой этаж будет доставлено не менее двух ящиков, равно общему количеству способов доставки за вычетом количеств способов доставки, при которых на восьмой этаж не будет доставлено ящиков и способов доставки, при которых на восьмой этаж будет доставлен ровно один ящик. Количество способов доставки, при которых на восьмой этаж не будет доставлено ящиков, составляет
Количество способов доставки, при которых на восьмой этаж будет доставлен ровно один ящик, составляет 
(один из шести ящиков доставляется на восьмой этаж, что даёт шесть способов доставки, и остальные пять ящиков доставляются на любой из остальных семи этажей, что даёт 
способов доставки). Поэтому искомое количество способов составляет 
Другим способом ответ на этот вопрос был получен здесь: Ссылка >>.
1) Каждый из шести ящиков с различными материалами может быть доставлен на любой из восьми этажей стройки. Поэтому искомое количество способов составляет
2) Количество способов доставки ящиков по этажам стройки, при которых на восьмой этаж будет доставлено не менее двух ящиков, равно общему количеству способов доставки за вычетом количеств способов доставки, при которых на восьмой этаж не будет доставлено ящиков и способов доставки, при которых на восьмой этаж будет доставлен ровно один ящик. Количество способов доставки, при которых на восьмой этаж не будет доставлено ящиков, составляет
Количество способов доставки, при которых на восьмой этаж будет доставлен ровно один ящик, составляет (один из шести ящиков доставляется на восьмой этаж, что даёт шесть способов доставки, и остальные пять ящиков доставляются на любой из остальных семи этажей, что даёт способов доставки). Поэтому искомое количество способов составляет Другим способом ответ на этот вопрос был получен здесь: Ссылка >>.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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