Yes, Korean society is quite modern, and friendships between people of different genders exist.
Knowledge of Korean isn't required to study at Korean universities (though it is essential for living in Korea), as many universities have departments for international students where instruction is in English. Each university has its own rules. You should visit the website of your chosen university. If you don't find the answers to your questions there, you can always email the admissions office.
Some universities in Korea have departments that train students in veterinary science, such as Korea University ( Seoul ) and Sungkyunkwan University (Seoul). Bachelor's degrees take four years, and master's degrees take an additional two years.
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To avoid getting into trouble in a foreign country, we always recommend using trusted booking sites, such as the links provided on our website.
Customs regulations impose restrictions on food imports into South Korea . Your mother might have trouble bringing in sausages, as beef products are not permitted. You should definitely avoid pickled mushrooms, as importing wild-growing items and products made from them is prohibited. Otherwise, make sure your food is in industrial packaging and in small quantities, so customs officials don't suspect you're planning to sell it.