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JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited for a picnic if 5 of them must be from group A and the remaining 3 from group B, is equal to :

Answer: (3)

Solution

Summing over valid cases: Missing superscript or subscript argument^7C_2Missing superscript or subscript argument · ^3C_3Missing superscript or subscript argument · ^6C_2Missing superscript or subscript argument · ^5C_1Missing superscript or subscript argument + ^7C_3$ ·

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Question ID VK-002058