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Консультация № 197243
27.11.2019, 10:21
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Задача по комбинаторике. Имеется группа из 6 человек.
А) сколькими способами они могут организовать пары для игры в шахматы?
Б) образовать пары и расположиться за тремя столами разного цвета?
Задача по комбинаторике. Имеется группа из 6 человек.
А) сколькими способами они могут организовать пары для игры в шахматы?
Б) образовать пары и расположиться за тремя столами разного цвета?
Обсуждение
05.08.2022, 07:22
общий
05.08.2022, 07:25
это ответ
Здравствуйте, sasha181999_9!
А) Шесть человек могут организовать пары для игры в шахматы
способами.
Б) При любом из пятнадцати способов разбиения на пары их можно расположить за тремя столами разного цвета
способами (распределить пары по столам можно 
способами; расположить шахматную доску на столе можно двумя способами, что для трёх столов даёт 
способов). Поэтому образовать пары и расположиться за тремя столами разного цвета можно 
способами.
А) Шесть человек могут организовать пары для игры в шахматы
способами.Б) При любом из пятнадцати способов разбиения на пары их можно расположить за тремя столами разного цвета
способами (распределить пары по столам можно способами; расположить шахматную доску на столе можно двумя способами, что для трёх столов даёт способов). Поэтому образовать пары и расположиться за тремя столами разного цвета можно способами.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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