I was trying to get an idea for what they were looking for in terms of credit history. I think it maybe more than just recent inquiries, as these entries on their denial letter to you might indicate they are looking for more cards and a longer history:

· Based on your credit report from one or more of the agencies on the back of this letter, there is insufficient credit card history
· Based on your credit report from one or more of the agencies on the back of this letter, length of revolving credit history