A money market account is an interest bearing account; it’s like a savings/checking account. Most people use it for investments.
Since it is like a savings/checking account, the bank will run your ChexSystems record. If you are in ChexSystems, they will decline you an account and show you the door.
Before you attempt to have any account with a bank, you need to understand what ChexSystems is, what your personal consumer report states, and what you need to do in order to clear your name from ChexSystems.