The rule is that BOA will only approve you for
-2 cards within a 2 month period
-3 cards within a 12 month period
and 4 cards within a 24 month period.
Also, on more of a subjective standard, last year I applied for the Bank Of America Premium Rewards Credit Card but my application was denied for having opened too many cards. I had just recently opened an American Express Blue Business Plus Credit Card and a U.S. Bank Altitude Reserve Visa card and an AAdvantage Aviator Red World Elite MasterCard. When I called BOA, to try to move some of my credit from my BOA Virgin Atlantic card, they still wouldn’t budge. They informed me that there is no hard and fast rule like the Chase 5/24 rule but it is more of a subjective standard. 🙁