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In a test, 5 questions are of the form ‘state, true or false. No student has got all answers correct. Also, the answer of every student is different. Find the number of students who appeared for the test.

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Every question can be answered in 2 ways. (True or False)

∴ By using the fundamental principle of multiplication, the total number of set of answers possible = 2 × 2 × 2 × 2 × 2 = 32.

Since One of them is the case where all questions are answered correctly,

The number of wrong answers = 32 – 1 = 31.

Since no student has answered all the questions correctly, the number of students who appeared for the test are 31.

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