The number of accounts with balances, and whether there is a balance on credit card accounts all factor in to your score calculation. (gocleancredit.com)
Despite what you commonly read about credit scores, I'm not convinced that you can radically boost your scores by having lots of open credit card accounts. (money.stackexchange.com)
Bottom line: be prepared to be denied if you've been active with new credit card accounts in the last 2 years. (pointsyak.com)