iPod on two computers?

[queens_nyc]

Is it true that you cannot use multiple computers to import music to your iPod? My friend filled her's up using my Mac Mini, then tried to import some more music from her home computer. She said all the old music she got from my computer was erased. Is it that you cannot use an iPod between multiple machines (raw deal if this is true), or perhaps she wrongly instructed her iPod to psynch with her library?
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MAC MINI
1.66 GHz Intel Core Duo::1 GB RAM::80 GB HD::Acer AL1916 19" LCD w/ DVI

MACBOOK PRO
15.4"::2.2 GHz Intel Core 2 Duo::2 GB RAM::120 GB HD

AIRPORT
Extreme Base Station w/ Gigabit

iPOD
20 GB::White
80 GB::Silver

[Pleiades]

If you want to use Automatic Syncing, then iTunes will only work with one computer. Each time to plug it in to another one, it will prompt you to erase and fill up from the new one (this is probably the prompt where your friend clicked "yes").

If you set the iPod to use Manual Syncing, then you can load songs from as many computers as you want.
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MacBook Pro 1.83GHz Core Duo, 2GB RAM, 250GB HD, Dell 802.11n card, 1.4TB external
MacBook 1.83GHz Core Duo, 2GB RAM, 60GB HD
iMac 1.83GHz Core Duo, 2GB RAM, 160GB HD, 1TB external, EyeTV Hybrid

[levang]

does this apply to the ipod touch as well?
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1.42 GHz Mac Mini; 512mb
16 GB iPod touch