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из 10 офицеров и 17 солдат нужно составить наряд, чтобы в него входили 3 офицера и 2 солдата. сколько существует таких нарядов?
нужно с решением. заранее спасибо
Обсуждение
Неизвестный
24.01.2009, 00:26
общий
это ответ
Здравствуйте, pro-expert! из 10 офицеров и 17 солдат нужно составить наряд, чтобы в него входили 3 офицера и 2 солдата. сколько существует таких нарядов? __________ По-моему, Товарищ Бородин немного ошибся в определении понятия "наряд". В моем представлении состав наряда не меняется от того в каком порядке в него будут выбраны участники, поэтому общее число вариантов равно произведению числа сочетаний из 10 по 3, на число сочетаний из 17 по 2.
Или, число, которое получил Товарищ Бородин, надо еще разделить на (3!) и на (2!), чтобы не учитывать варианты отличающиеся только порядком записи участников наряда
195840/((3!)*(2!))= 16320
Неизвестный
24.01.2009, 10:02
общий
BayBak, спасибо, что просветили... Эхе-хе, надо было лучше математику учить в универе... pro-expert, извините меня, пожалуйста, надеюсь, что не создал Вам проблем своим ответом.
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