Under the disturbance of extreme events, multiple components of the distribution system will fail simultaneously. However, most evaluation of multiple faults impacts is based on the Monte Carlo simulation method, which takes a long time to calculate. This paper presents three analytical methods for evaluating the reliability of distribution system under multiple faults from the perspectives of customers, components and system. The customer and component perspectives are at the micro level, and the system perspective is at the macro level. The evaluation results of the two levels are slightly different. This paper analyzes the differences between the three methods. The concept of effective failure probability is proposed to prevent the repeated calculation of the impact of simultaneous failure of multiple components on the same load. Finally, the proposed methods are verified on a modified IEEE 37-node feeder test system.