For a set of five true/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 classes, for this to be possible?

Explanation

To solve the problem, we need to determine the maximum number of students who can answer a set of 5 true/false questions under the given conditions.

### Step-by-Step Solution:

1. **Determine the Total Possible Answers**:
Each question can be answered in 2 ways (True or False). Since there are 5 questions, the total number of possible answer sequences is given by:
\[
2^5 = 32
...