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Консультация № 197220
27.11.2019, 10:04
0.00 руб.
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1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Задача по комбинаторике. Надо послать 6 срочных писем. Сколькими способами это можно сделать: 1) если для передачи писем можно послать 3-х курьеров и каждое письмо можно дать любому из них? 2) если каждый из 3-х курьеров должен вручить по 2 письма?
Задача по комбинаторике. Надо послать 6 срочных писем. Сколькими способами это можно сделать: 1) если для передачи писем можно послать 3-х курьеров и каждое письмо можно дать любому из них? 2) если каждый из 3-х курьеров должен вручить по 2 письма?
Обсуждение
01.12.2019, 05:40
общий
это ответ
Здравствуйте, sasha181999_9!
1) Поскольку каждое из 6 писем можно независимо от остальных вручить одному из трёх курьеров (3 варианта), то общее количество способов будет равно 3[$183$]3[$183$]...[$183$]3 (6 раз), то есть 3[sup]6[/sup] = 729.
2) Первому курьеру вручаем любые 2 из 6 писем, число способов будет равно
В каждом из 15 вариантов вручаем затем второму курьеру любые 2 из 4 оставшихся писем, что можно сделать
способами. Третий курьер заберёт 2 оставшихся письма ("без вариантов"), поэтому общее количество способов будет равно 15[$183$]6 = 90.
1) Поскольку каждое из 6 писем можно независимо от остальных вручить одному из трёх курьеров (3 варианта), то общее количество способов будет равно 3[$183$]3[$183$]...[$183$]3 (6 раз), то есть 3[sup]6[/sup] = 729.
2) Первому курьеру вручаем любые 2 из 6 писем, число способов будет равно
В каждом из 15 вариантов вручаем затем второму курьеру любые 2 из 4 оставшихся писем, что можно сделать
способами. Третий курьер заберёт 2 оставшихся письма ("без вариантов"), поэтому общее количество способов будет равно 15[$183$]6 = 90.
5
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