Design question - add another table or another column?

Hi there,
quick design question:
I have the following tables:
Traveler
CreditCard
Group
A traveler is going with group X and pay (creditCard) with Y. he can go on multiple groups and can pay with Y or Z...
my question is this:
should I make another table CrditCard_Group which will have the following columns:
user_id
group_id
creditCard_id
or simply to have in the creditCard table another column: Group_id
thanks for any advise

This is not JDBC nor Java, it's database modeling.
Said this, the answer is: it depends; if you have to record the fact that a traveler belonging to a group pays with credit card X you need the table with three ids. If you just need to record the traveler using a credit card and the traveler belonging to a group you need two tables each with the two ids.

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