Two new drugs -ire to be tested using a group of 60 laboratory nuce. each tagged with a number for identification purposes. Drug A is to be given lo 22 mice, drug B is to be given to another 22 mice, and the remaining 16 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.)
The number of ways the assignment of treatments to mice be made.
Drug is to be given to mice, drug is to be given to another mice, and the remaining mice are to be used as controls.
The number of combinations of objects chosen from objects when repetitions are not allowed is,
Using the definition of the permutation in the above equation.
First, mice are selected to test drug , and this can be done in ways.
Next, we select another mice, from the remainig mice, for testing drug
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