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Консультация № 180732
14.11.2010, 06:37
0.00 руб.
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Здравствуйте уважаемые эксперты! 
Очень нужна Ваша помощь в решении задачи по комбинаторике(не силён в ней к сожалению 
):
На конференции должны состояться шесть пленарных докладов(докладчики А, В, С, D, E и F), причем докладчик С обязательно должен выступать сразу же после докладчика B, и больше никаких ограничений, которые определяют порядок нет. Сколько может быть разных варантов порядка докладов? Заранее спасибо
Очень нужна Ваша помощь в решении задачи по комбинаторике(не силён в ней к сожалению ):На конференции должны состояться шесть пленарных докладов(докладчики А, В, С, D, E и F), причем докладчик С обязательно должен выступать сразу же после докладчика B, и больше никаких ограничений, которые определяют порядок нет. Сколько может быть разных варантов порядка докладов? Заранее спасибо
Обсуждение
Неизвестный
14.11.2010, 11:42
общий
это ответ
Здравствуйте, Мироненко Николай Николаевич!
Существуют 5 вариантов, при котором С после B:
BCXXXX
XBCXXX
XXBCXX
XXXBCX
XXXXBC
Кол-во вариантов размещения в XXXX – перестановки из 4 = 4! = 24.
Итого: 5*24= 120
Существуют 5 вариантов, при котором С после B:
BCXXXX
XBCXXX
XXBCXX
XXXBCX
XXXXBC
Кол-во вариантов размещения в XXXX – перестановки из 4 = 4! = 24.
Итого: 5*24= 120
5
Аа, факториал берём, понял! Спасибо Вам большое :)
Неизвестный
14.11.2010, 15:00
общий
это ответ
Здравствуйте, Мироненко Николай Николаевич!
Так как докладчик C жестко связан с докладчиком B, то можно считать их за одного докладчика. Значит у нас 5 докладчиков, выступающих в произвольном порядке. Искомое количество вариантов есть количество перестановок из 5 элементов, т.е. 5! = 120.
Ответ: 120 вариантов.
Так как докладчик C жестко связан с докладчиком B, то можно считать их за одного докладчика. Значит у нас 5 докладчиков, выступающих в произвольном порядке. Искомое количество вариантов есть количество перестановок из 5 элементов, т.е. 5! = 120.
Ответ: 120 вариантов.
5
Интересно, спасибо большое!
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