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Консультация № 112472
05.12.2007, 17:03
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Доброго времени суток! Мне нужна ваша помощь в решении задачи
Студенту необходимо сдать 4 экзамена за 8 дней, но известно, что последний экзамен сдается на 7 день. Сколькими различными способами можно это сделать?
Если возможно то поподробнее.
Студенту необходимо сдать 4 экзамена за 8 дней, но известно, что последний экзамен сдается на 7 день. Сколькими различными способами можно это сделать?
Если возможно то поподробнее.
Обсуждение
Неизвестный
06.12.2007, 09:43
общий
это ответ
Здравствуйте, Alex Bond!
Так как 4-ый экз. сдается на 7 день,
то остается с 1-го по 6-ой день для распределения оставшихся 3-х экзаменов.
Это при условии, что за 1 день сдается только один экзамен.
Если не важен порядок экзаменов, то это кол-во вариантов = сочетания из 6 по 3
С(6,3) = 6!/(3!*3!) = 20
Так как 4-ый экз. сдается на 7 день,
то остается с 1-го по 6-ой день для распределения оставшихся 3-х экзаменов.
Это при условии, что за 1 день сдается только один экзамен.
Если не важен порядок экзаменов, то это кол-во вариантов = сочетания из 6 по 3
С(6,3) = 6!/(3!*3!) = 20
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