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Grade 11Algebra

Number of positive integral solutions of the equation XYZ=90 is equal to?

Profile image of Harshith S Naik
8 Years agoGrade 11
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2 Answers

Profile image of Vedant
8 Years ago
The number of positive integral solutions for this equation is 7

Profile image of Deepanshu
8 Years ago
90=2*3*3*5 . So by using permutation and combination , answer=3c1*3c2*3c1(for factors). Also it is possible when all 3 I.e. xyz are positive or 2 of them are negative. Hence for that multiply ans by 2c1.Final answer : 3*3*3*2=54