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Quote:A) Users can access the service from any computer, providing the correct user name and password to enter.
B) Users can access the service from any computer, providing the correct user name and password are entered.
Using your sentence structure, I'd prefer:
C) Users can access
this service from any computer, providing the correct user name and password
have been entered.
Left to myself, I'd write:
When the correct user name and password have been entered users are able to access this service from any computer.