In a test, there are 5 questions of the 'true or false' type. No student has got all the answers correct and the sequence of answers for every student is unique. The maximum number of students who could have appeared for the test is....

Step-by-step solution

The test has 5 questions, and each question has 2 possible answers (True or False). The total number of possible sequences of answers is 2^5 = 32 . Out of these 32 sequences, exactly 1 sequence corresponds to all answers being correct. Since no student has got all the answers correct, this specific sequence cannot be chosen by any student. The number of available sequences of answers is 32 - 1 = 31 . Since the sequence of answers for every student is unique, the maximum number of students who could have appeared fo