Each four-letter type will approach problem solving differently.  This is because each type solves a problem by utilizing in order their dominant, auxiliary, tertiary, and inferior functions.  For example, the INTJ will first utilize intuition (dominant), thinking (auxiliary), feeling (tertiary), and finally sensing (inferior).  An INFP solves problems by first engaging feeling (dominant), intuition (auxiliary), sensing (tertiary), and finally thinking (inferior).  This table lists the order of problem solving preference for each type.
