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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: Необходимо разделить группу из 20 человек на одну группу по 5 человек. Сколькими способоми можно разделить?
Из 20 человек выбрать одну группу , в которой будет пять человек? Тогда количество способов =20*19*18*17*16
А если подумать? Не нужно ли это число разделить на Ведь порядок следования выбранных пяти человек не имеет значения. По-моему, правильно считать, что выбрать человек из двадцати можно
Необходимо разделить группу из 20 человек на одну группу по 5 человек. Сколькими способоми можно разделить?
На мою просьбу уточнить условие задачи по её источнику Вы не откликнулись. А оно заведомо неправильное, потому что разделить группу некоторой численности можно на несколько групп меньшей численности, но не на одну. Или можно из данной группы выделить одну группу меньшей численности. Рассмотрим эти случаи по отдельности.
1. Количество способов выделить из группы численностью человек группу численностью человек равно
2. Количество способов разделить группу численностью человек на четыре группы численностью человек при условии, что важно, какая группа первая, какая вторая, какая третья, какая четвёртая, равно
3. Количество способов разделить группу численностью человек на четыре группы численностью человек при условии, что неважно, какая группа первая, какая вторая, какая третья, какая четвёртая, равно
Если у Вас появятся вопросы по предложенному решению, то задавайте их, пожалуйста, в мини-форуме консультации.
Об авторе:
Facta loquuntur.
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valya 
Елена Васильевна 
Ведь порядок следования выбранных пяти человек не имеет значения. По-моему, правильно считать, что выбрать 
человек из двадцати можно
человек группу численностью 
