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One-to-one is used when you talk about transfer or communications. You may use one-to-one when you can identify a source and a destination. For eg., a one-to-one email is one sent from a single person to another, i.e., no ccs or bccs. In maths, a one-to-one mapping maps one element of a set to a unique element in a target set. One-on-one is the correct adjective in your example. See Free ...
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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 (or consistent exclusion of and) in many other numbers ending in different digits.
You typically wouldn't use either phrase for meetings. 'One-to-one' is rare and often technical in any case, you might say, 'On most websites there is a one-to-one relationship between a username and an account,' meaning that there is only one username per account, and only one account per username. As @FumbleFingers said, 'one-on-one' tends to suggest physical activity, or at least ...
However, "one and only one" adds emphasis to the fact that there is only one, and draws attention to it. For example, the student who is the only one who failed, might feel more ashamed if the teacher uses "one and only one", as the teacher might be perceived as purposely drawing attention to that fact, for whatever reason.
word meaning - How is "one" used in different contexts? - English ...
"One's" is a contraction of "one is" or "one has." It is also the possessive of "one." Examples of these are: One's mood can be affected by the seasons. (possessive) One's the smallest positive integer. (contraction) "Ones" is merely the plural of "one." This is the usage you are looking for here. In English, "one" can sometimes be used to indicate individual units of something. Here are some ...
What is the proper way to use "ones" or "one's" this word in sentence?