| The money would come from the settlement of the estate assuming the dead persons estate had sufficient assets to cover it and all other debts. If not sufficient assets then the executors would need to negotiate with the creditors to apportion the assets to each debt.
The glitch is if that credit card account was jointly held with another person, or someone co-signed for that person. In that event the Joint credit card holder or co-signor would be responsible for the debt.
In the stone ages, debt used to follow the heirs, but that is no longer practiced in the west to my knowledge. | 
