This paper investigates the physical-layer security of an amplify-and-forward wireless cooperative network, where N source nodes communicate with their corresponding destination nodes under the help of an untrusted relay. In each slot, only one user-pair is scheduled to transmit the information, and the destination-aided cooperative jamming is adopted to protect information from being intercepted by the untrusted relay. Three user-pair selection schemes have been proposed for the considered system, namely opportunistic user-pair selection (OUS) scheme, greedy user-pair selection (GUS) scheme, and genie-aided user-pair selection scheme. Both the secrecy outage probability and the average secrecy rate have been studied to evaluate the performance of the OUS and GUS schemes, and the asymptotic analysis has also been obtained. It reveals that the proposed schemes can improve the secrecy performance for the cooperative multiuser networks as the number of user-pairs increases. We also prove that the achievable diversity order of both OUS and GUS schemes is N/2 . Finally, numerical and simulation results are presented to validate the accuracy of the developed analytical results.