"When I first started Word, it installed about 60 fonts in my User Fonts"
So that's the low number I bet since they didn't install the full package.
A call to Microsoft may reveal more but have a few sharp pencils ready to write it all down.
I am looking for a list of fonts included in Word 2004. Mactopia is absolutely useless when it comes to providing this information. And MS/Mactopia provides no way to ask a pre-sale question.