SOLUTION: I have a test of 285 total questions segregated into 12 categories. I randomly choose 5 questions per category. How many different 60 question tests can be created?

Question 970340: I have a test of 285 total questions segregated into 12 categories. I randomly choose 5 questions per category. How many different 60 question tests can be created?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

This problem cannot be worked with the information given.  There isn't the same
number in each of the 12 categories because 12 doesn't divide into 285 a whole
number of times.  We would have to know how many of the 285 questions are in each
of the 12 categories since there cannot be the same number of questions in each of
the 12 categories.  Did you mean 288 instead of 285?  12 goes into 288 evenly but
not into 285.

Edwin

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