Question on trasnformation

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littlescientest
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Question on trasnformation

 Hi, i am cloning a insert into a vector. They are both double digested with the same enzymes. I will then ligate them together. Next, i will transform them into competent cells. what are the possible yields?

For example, there may be:
1) vector+insert
 
what else will i get? for example, like will the vectors self ligate? so 2 vectors ligates together so still have resistance against my antibiotic used in my plate (e.g Ampicillin)