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You might wish to look at this link:
http://en.wikipedia.org/wiki/Fractional_reserve_banking
When a bank issues a CC, they are potentially obligated to loan a certain amount of money. I imagine that the actual reserves they have to hold for this purpose are pretty low.
The same is true when you deposit money -- $100 in a savings account doesn't mean that there are five $20 bills sitting a vault somewhere.