The second and third examples are both correct. In the books from 1702, 1774, and 1860 that i link to in my examples of one hundred and one and one hundred one, you will find consistent use of and. The first example is incorrect.
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It is possible that the singular/plural choice is not a purely syntactical matter, but partially depends on whether the speaker's focus. Which one you use is mostly a matter of preference, although a hundred. Which one is the best is obviously a question format, so it makes sense that which one the best is should be the correct form.
