Lots. Technically, the limit is "as many as you can fit into the xml that the workflow is stored in in the database" - the post-functions are encoded as a block of xml text that points to a class to call, with any parameters you've set. This means the technical limit depends on what you've added to the workflow
In real life, it's "high enough". You can add loads, but each one takes time to run and you will eventually get to a point where the transition processing takes too long to be acceptable to the users.
Never add that many - in fact, a simple rule is that if you are thinking of adding more than 5, you should probably start looking at why - what is broken in the process that means you are adding so much?
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