SOLUTION: how many students must be in the class to guarantee that at least two students receive the score on the final exam, if the exam is graded on the scale from 0 to 100 points?

Question 479646: how many students must be in the class to guarantee that at least two students receive the score on the final exam, if the exam is graded on the scale from 0 to 100 points?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

From 0 to 100 points is 101 possible different scores.
If there were 101 students, it is possible, although
extremely unlikely, that each one could have a different
score.  However if there were 102 students it would
be impossible for all students to have different 
scores, for then there wouldn't be enough possible 
scores for every student to have a different one.
So the answer is 102 or more students.

Edwin

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