Three versions of a test are distributed evenly among 15 students. How many ways can the tests be distributed?
To find the number of ways the tests can be distributed, we need to apply the concept of combinations.
In this case, there are 3 versions of the test, and each version is distributed evenly among 15 students. This means that each student can receive one test version.
To distribute the tests, we can think of it as selecting one version of the test for each student. So for the first student, we have 3 options to choose from, for the second student, we again have 3 options, and so on, until the 15th student, who also has 3 options.
Since we are selecting one option for each student, we can find the total number of ways by multiplying the number of options for each student.
Therefore, the total number of ways the tests can be distributed is calculated as:
3 * 3 * 3 * ... (15 times)
This can be written as 3^15, which is equal to 14,348,907.
So, there are 14,348,907 ways the tests can be distributed among the 15 students.