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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Statement 1: If are positive integers such that , then the number of possible values of the ordered triplets is . Statement 2: The number of ways in which identical things can be distributed into different groups is .

Answer: (A)

Solution

Introduce a slack with ; the positive solutions number , so Statement 1 is true. Statement 2 (for groups that each receive at least one thing) gives , which is exactly the formula used in the count

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Question ID VK-020649