Answer: The three angles choice.
Explanation:
First we need to remove the measures that can't create a triangle.
3, 5, 10 cm sides.
First of all, This is impossible. 3+5=8, which means that 10 is too large of a side to create a triangle.
Now the other ones can either create one or infinite.
Two sides: 4, 7 cm and angle 54 between them.
tan(54) = o/7 ; o = 7(tan(54)) = 9.63
OR
tan(54) = o/4 ; o = 4(tan(54)) = 5.5
There are two possible triangles, but not infinite.
3, 5, 7 ; The parameters work, but there's only one possible triangle here.
The three angles can create infinite number of triangles, since there's an infinite number of side lengths that can fit these angle proportions.