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Answer:
The total number of ways of assignment is 314,790,828,599,338,321,972,833,000.
Step-by-step explanation:
In mathematics, the procedure to select <em>k</em> items from <em>n</em> distinct items, without replacement, is known as combinations.
The formula to compute the combinations of <em>k</em> items from <em>n</em> is given by the formula:
In this case we need to determine the number of ways in which the drugs are assigned to each mouse.
It is provided that 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 22 mice.
Compute the number of ways to assign drug A to 22 mice as follows:
Now the remaining number if mice are: 60 - 22 = 38.
Compute the number of ways to assign drug B to 22 mice as follows:
Now the remaining number if mice are: 38 - 22 = 16.
Compute the number of ways to assign no drug to 16 mice as follows:
The total number of ways of assignment is:
Thus, the total number of ways of assignment is 314,790,828,599,338,321,972,833,000.