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Консультация № 202794
14.05.2022, 14:54
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В классе учится одинаковое количество мальчиков и девочек (всего в классе не менее 4 человек). Их в различном порядке выстраивают в один ряд и смотрят, нельзя ли разделить ряд на две части так, чтобы в каждой части девочек и мальчиков было поровну. Пусть a — количество случаев, когда такое разбиение ряда невозможно, а b — количество случаев, когда удаётся разбить ряд на две такие части лишь одним способом. Докажите, что b=2a.
В классе учится одинаковое количество мальчиков и девочек (всего в классе не менее 4 человек). Их в различном порядке выстраивают в один ряд и смотрят, нельзя ли разделить ряд на две части так, чтобы в каждой части девочек и мальчиков было поровну. Пусть a — количество случаев, когда такое разбиение ряда невозможно, а b — количество случаев, когда удаётся разбить ряд на две такие части лишь одним способом. Докажите, что b=2a.
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