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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
1. День рождения Иннокентия был 19 февраля. Этот день обладает интересной особенностью — если переставить цифры дня и месяца местами, можно получить текущий год. А какие еще даты в этом году обладают таким свойством? 2.Иннокентий собирает букет маме на праздник. В букете будут только цветики-семицветики, которые состоят из 7 лепестков разного цвета. Иннокентий хочет использовать только неповторяющиеся цветки. Какое максимальное количество цветиков может быть в букете?
День рождения Иннокентия был 19 февраля. Этот день обладает интересной особенностью — если переставить цифры дня и месяца местами, можно получить текущий год. А какие еще даты в этом году обладают таким свойством?
Будем исходить из того, что речь идёт о 2019 годе. Номер этого года состоит из четырёх различных цифр. Переставить четыре цифры можно 4!=24 способами. Рассмотрим эти перестановки: 1) 0129 -- не соответствует какой-либо дате; 2) 0192 -- не соответствует какой-либо дате; 3) 0219 -- не соответствует какой-либо дате; 4) 0291 -- не соответствует какой-либо дате; 5) 0912 -- соответствует дате 9 декабря; 6) 0921 -- не соответствует какой-либо дате; 7) 1029 -- не соответствует какой-либо дате; 8) 1092 -- не соответствует какой-либо дате; 9) 1209 -- соответствует дате 12 сентября; 10) 1290 -- не соответствует какой-либо дате; 11) 1902 -- соответствует дате 19 февраля (эта дата указана в условии задачи); 12) 1920 -- не соответствует какой-либо дате; 13) 2019 -- не соответствует какой-либо дате; 14) 2091 -- не соответствует какой-либо дате; 15) 2109 -- соответствует дате 21 сентября; 16) 2190 -- не соответствует какой-либо дате; 17) 2901 -- соответствует дате 29 января; 18) 2910 -- соответствует дате 29 октября; 19) 9012 -- не соответствует какой-либо дате; 20) 9021 -- не соответствует какой-либо дате; 21) 9102 -- не соответствует какой-либо дате; 22) 9120 -- не соответствует какой-либо дате; 23) 9201 -- не соответствует какой-либо дате; 24) 9210 -- не соответствует какой-либо дате. Значит, в 2019 году, помимо 19 февраля, указанным свойством обладали даты 9 декабря, 12 сентября, 21 сентября, 29 января, 29 октября.
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