MHT CET 2026 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2026

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..

Answer: (C)

Solution

Each of the 7 questions can be answered in 2 ways, so the total number of distinct answer sequences is . Exactly one of these sequences is the all-correct sequence, which no student has. Since every student's

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Question ID VK-100310