JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

If are positive integers such that then the number of possible values of the ordered triplet is

Answer: (B)

Solution

*Method 1 (book):* with ; each has positive solutions, so

{}^{n-1}={}^+{}^+{}^+{}^+{}^+{}^=1+3+6+10+15+21=56,

which equals by the hock

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Question ID VK-108230