Does an uninstall on PC1 also release that license in my account to become available for PC2?

Hello,

 

I have a 5 PC license for NIS 2009 (just upgraded one PC to 2010). Now i will buy a new PC. I want to UNinstall NIS 2009/2010  from my old PC because it will be refurbished. Will that also UNinstall/release that PC license in my account so that it will become available again for my new PC so that i can install NIS 2010 there?

 

Thanks,

Jan