Two new drugs are to be tested using a group of 60

Last updated: 7/10/2022

Two new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 21 mice, drug B is to be given to another 21 mice, and the remaining 18 mice 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.) (Enter the exact number or an equivalent algebraic expression.)