JEE Main 2024 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2024

In an examination of Mathematics paper, there are 20 questions of equal marks and the questions paper is divided into three sections: A, B and C. A student is required to attempt total 15 questions taking at least 4 questions from each section. If section A has 8 questions, section B has 6 questions and section C has 6 questions then the total number of ways a student can select 15 questions is .

Answer: 11376

Solution

With at least 4 questions from each section, the admissible (A, B, C) splits are (4,5,6), (4,6,5), (5,4,6), (5,5,5), (5,6,4), (6,4,5), (6,5,4) and (7,4,4).

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Question ID VK-017005