In a test, there are 7 questions of the type 'True or False'. No student got all the answers correct. If the sequence of answers for every student is unique, then the maximum number of students who appeared for the test is

Step-by-step solution

Total number of questions = 7 Each question can be answered in 2 ways (True or False). Total number of possible answer sequences = 2^7 = 128 Since no student got all the answers correct, the sequence corresponding to all correct answers is excluded. Number of available sequences = 128 - 1 = 127 Since every student's sequence of answers is unique, the maximum number of students is equal to the number of available sequences. Maximum number of students = 127 Answer: 127