It depends. If you have a retail version of Office then you can install
it on 2 machines simultaneously. If you have home and Students version
then you can install it on 3 Pcs. If you have .... I give up because
you can do almost anything you want provided you know what you are
doing.
If I were you, I would install it anyway and also try to activate it
online. If it fails, I expect M$ systems to tell me where to contact
them by phone to resolve this. You normally get a toll free phone
number on your screen.
Go ahead and install it. Let me know what happens so that I can advise
you further.
hth