Itunes for Windows

See Authorization vs. association - Apple Community. You have likely removed some associations rather than authorizations. These are two different mechanisms with different limits that are easily confused.

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MEBain Said:

"Itunes for Windows: I am trying to authorize my HP laptop. I have 3 other devices authorized after deleting several. It still says I cannot authorize more than 5. Why?"

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Why "5"?

Because 5 is the maximum number of permitted computers that can be associated to your Apple Account. So, see which devices are associated to your account...

Go Here: View and Remove your Associated Devices for Purchases - Apple Support