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Консультация № 202641
17.04.2022, 23:15
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
В корзине 10 яблок, 12 груш и 15 слив. Сколькими способами могут разделить между собой эти фрукты 2 ребят так, чтобы каждый из них получил не менее 4-х фруктов каждого вида?
В корзине 10 яблок, 12 груш и 15 слив. Сколькими способами могут разделить между собой эти фрукты 2 ребят так, чтобы каждый из них получил не менее 4-х фруктов каждого вида?
Обсуждение
18.04.2022, 14:27
общий
это ответ
Здравствуйте, svrvsvrv!
10 яблок между двумя ребятами можно поделить так: 4+6, 5+5, 6+4 (три способа); 12 груш так: 4+8, 5+7, 6+6, 7+5, 8+4 (пять способов); 15 слив так: 4+11, 5+10, 6+9, 7+8, 8+7, 9+6, 10+5, 11+4 (восемь способов). Значит, искомое количество способов составляет 3[$183$]5[$183$]8=120.
10 яблок между двумя ребятами можно поделить так: 4+6, 5+5, 6+4 (три способа); 12 груш так: 4+8, 5+7, 6+6, 7+5, 8+4 (пять способов); 15 слив так: 4+11, 5+10, 6+9, 7+8, 8+7, 9+6, 10+5, 11+4 (восемь способов). Значит, искомое количество способов составляет 3[$183$]5[$183$]8=120.
5
Спасибо, разобрался.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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