The concepts of the basic symmetric operator and complete symmetric operator of the equivalent-electron regular Young tableau T［λ］ig are presented, and the concepts of the root state and generative state generated by these symmetric operators acting on each Slater function i are also given. Based on the establishment rules of the vertical permutation operator A［λ］ig of the orthogonal normalization Young tableau T［λ］ie, the symmetric operators in A［λ］ie and the equiprobability comparison method for solving T［λ］ie are presented, which can avoid the complicated algebra involving many operators. Finally, a new method for sloving the Young basis of the electron system with a large N is presented.