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Консультация № 194024
28.11.2018, 15:50
0.00 руб.
0
9
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Здравствуйте! У меня возникли сложности с таким вопросом:
Михаил раскрасил уголок каждой страницы в своей 96-и листовой тетради в определённый цвет. Докажите, что в этой тетради обязательно найдутся или 14 уголков раскрашенные в разные цвета, или 14 уголков раскрашенные в один цвет.
Михаил раскрасил уголок каждой страницы в своей 96-и листовой тетради в определённый цвет. Докажите, что в этой тетради обязательно найдутся или 14 уголков раскрашенные в разные цвета, или 14 уголков раскрашенные в один цвет.
Обсуждение
28.11.2018, 16:23
общий
Адресаты:
А какие сложности с этой задачей возникли у Вас?
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.11.2018, 16:24
общий
Адресаты:
У каждой страницы два уголка, всего в тетради 96*2 = 192 уголка. Если взять 13 цветов и покрасить в каждый цвет по 13 уголков, раскрашенными будут 13*13 = 169 уголков. Чтобы раскрасить остальные, придется или взять другие цвета или покрасить оставшиеся уголки в какие-то из уже выбранных цветов..
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