Two new drugs are to be tested using group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is given to 17 mice, drug B is given to another 17 mice, and the remaining 16 are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse whether drug A, drug B, or no drug) (Give final answer in exact number)