Which Jutsu should you use?
Probability
Level
5
Find the number of scalene triangles with integer sides such that its perimeter is 100.
The answer is 184.
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1 solution
By triangle inequality( a + b >c, a+c>b, b+c>a where a, b,c are sides) I proved a,b,c<50. Then I used the spaces and bars technique to find out the solutions for a+b+c=100 where a,b,c are distinct and a,b,c < 50. That would be our final answer.
Not a complete solution just a bunch of hints.