Rim/Tyre Question

I've noticed that you can get various widths of tyre, but does the same go for rims/wheels? Or is it a set size of wheel/rim and the different widths of tyres all fit on?
Sorry if this sounds stupid, but it was bugging me
Sorry if this sounds stupid, but it was bugging me

0
Posts
XC rims eg Mavic 717`s are generally suitable for tyres up to 2.1, The next size up is the 719`s which are stronger, wider and will fit bigger tyres.
Rock Lobster
If it doesn't move and should, use the WD40.
If it shouldn't move and does, use the tape.
http://www.schwalbe.com/gbl/en/tech_info/reifenmasse/