Šárka enjoys celebrating, so in addition to birthdays, she came up with antibirthdays: the date of the antibirthday is created by swapping the day and month numbers in the birth date. She was born on 8.11., so her antibirthday is on 11.8. Her mother cannot celebrate her antibirthday: she was born on 23.7., her antibirthday would be on 7.23., which is not a valid date. Her brother can celebrate his antibirthday, but it falls on the same day as his birthday: he was born on 3.3.

How many days in a year are such that a person born on that day can celebrate their antibirthday, and it is on a different day than their birthday?

(V. Hucíková)

Hint. What day of the month must a person be born on to be able to celebrate their antibirthday?

Translate the above text into English, please keep the original text's line breaks and format, and output the translation result directly. 

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Šárka enjoys celebrating, so in addition to birthdays, she came up with antibirthdays: the date of the antibirthday is created by swapping the day and month numbers in the birth date. She was born on 8.11., so her antibirthday is on 11.8. Her mother cannot celebrate her antibirthday: she was born on 23.7., her antibirthday would be on 7.23., which is not a valid date. Her brother can celebrate his antibirthday, but it falls on the same day as his birthday: he was born on 3.3.

How many days in a year are such that a person born on that day can celebrate their antibirthday, and it is on a different day than their birthday?

(V. Hucíková)

Hint. What day of the month must a person be born on to be able to celebrate their antibirthday?
Those born on January 1st have their anti-birthday on the same day as their birthday. Those born between January 2nd and January 12th have their anti-birthday on a different day than their birthday. Those born between January 13th and January 31st cannot celebrate their anti-birthday because there are only 12 months in a year. Therefore, in January, there are 11 days that meet the requirement in the problem.

Similarly, this applies to each subsequent month: the first twelve days provide a meaningful anti-birthday date, with exactly one case being the same date. There are 11 suitable days in each month, and there are 12 months, so the number of suitable days in a year is $11 \cdot 12=132$.