How do genes work?

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Just humor me for a second, I'm sure this is a dumb question. Does a child inherit only single traits from exclusively one side of the family/person or can genes combine. An example, if the mother has a big nose and the father has a small nose, does the child only get a big nose from his mom or a small nose from his father OR can he get a new nose that combines his mothers and his fathers dimensions. Im just trying to understand how it works. Do specfic traits from genes mix to make new creations or the single specfic traits a person has is from one side or the other. Hopefully this makes sense, thanks.