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Permutations And Combinations

Question

In a set of 8 true or false questions, no student has written all correct answers and no two students have given the same sequence of answers. What is the maximum number of students in the class, for this to be possible?

Solution

Solution not provided.
Ans. $space space 2 to the power of 8 minus 1 space equals space 256 space minus space 1 space equals space 255$