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JEE Main 2022 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2022

In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, −2 marks for each wrong answer and 0 mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets 5 marks is .

Answer: 40

Solution

Let x be the number of correct and y the number of wrong answers: 3x − 2y = 5 with , so (x, y) = (3, 2). The correct answers

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Question ID VK-024151