For a set of five true or false questions, no student has written the all correct answers and no two…
For a set of five true or false questions, no student has written the all correct answers and no two students have given the same sequence of answers. The maximum number of students in the class for this to be possible is
30
31
32
16
Solution
Each of the five questions can be solved in two ways.
$\therefore$ Maximum number of wrong answers.
$=(2 \times 2 \times 2 \times 2 \times 2)-1=31$