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JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

The number of positive integral solutions of , , , is

Answer: (A)

Solution

*Stars and bars:* write as a row of ones; the gaps between them; choosing 2 of the gaps as dividers splits into 3 positive parts. So the count is .

*Generating function (book's method):* the

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Question ID VK-108224