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For a set of five true or false question ,no student has written all correct answers, and no two students have given the same given sequence of answers .What is the maximum number of students in the class for this to be possible
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Assuming there are three possibilities for an answer to a question: True, False, Not Answered.

So total possible answers: $3^5$, one of which will be the correct solution, hence total allowed possible answers: $3^5 -1$

Hence maximum students possible: $3^5-1$.

If all the students answers all the questions then total possibilities will be 2, true and false and the aswer will be $2^5-1$

Please correct me if I am wrong.
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