A wireless sensor network can be divided into several clusters. Each cluster has a number of sensors nodes and one of the nodes is elected as the coordinator. The coordinator is responsible for not only the general mission but also collecting the sensed data of other nodes and routing to the sink. Accordingly, the energy-consumption is higher than other nodes. Therefore, the coordinator selection methods will affect the life-time of a network. Besides, the conventional coordinator selection method cannot be available to different requests of sensor networks. In this study, we divided the missions into two types. One is that a mission can be performed by most of the sensor nodes. The other is that a mission can be performed by just few of the sensor nodes. Accordingly, we give different selection methods to suitable the requests. Simulation results demonstrate our study can enlarge the life time for different requests of the sensor networks.