Question

Как известно, понедельник - день тяжёлый. Представим себе, что в новогоднюю ночь отменили понедельники: за воскресеньем сразу следует вторник. 1 января 2016 года - пятница. Сколько раз совпадут воскресенья в 2016 году у нас и в случае отмены понедельников?

Answer 1

3 января и 31 июля-считала вручную,по календарю,а как объяснить ,не знаю... 31/07 воскресенье -  и с понед. и без них...С воскресеньями с 01/01/2016 по 31/07/2016=213 дней (31+29+31+30+31+30+31=213),без них 27+25+27+26+27+26+27=185дней.4понедельника в месяце=4*7=28. 213-185=28 тоже. Как это все разрулить? между датами 3/01 и 31/07 183 дня

Answer 2

The Number of Coinciding Sundays in 2016 with the Cancellation of Mondays

To determine the number of coinciding Sundays in 2016 when Mondays are canceled, we need to consider the starting day of the year and the number of days in a week.

According to the given scenario, January 1, 2016, falls on a Friday, and Mondays are canceled. This means that Sunday will be followed by Tuesday instead of Monday.

To calculate the number of coinciding Sundays, we need to find out how many times the day of the week advances by one day from Sunday to Tuesday throughout the year.

Let's break down the calculation:

- From Sunday to Tuesday, there is a two-day advancement. - In a non-leap year like 2016, there are 365 days. - Since there is a two-day advancement from Sunday to Tuesday, we need to divide 365 by 2 to find the number of times Sunday coincides with Tuesday.

Therefore, the number of coinciding Sundays in 2016, assuming the cancellation of Mondays, is 365 divided by 2, which equals 182.5.

However, since we cannot have half a day, we need to round down the decimal value. Therefore, the final answer is 182 coinciding Sundays in 2016 when Mondays are canceled.

Please note that this calculation assumes a consistent pattern of advancement from Sunday to Tuesday throughout the year, which may not be the case in reality due to leap years and other factors.