Dakota randomly selected three different integers 1 through 6. What is the probability that the three numbers selected could be the sides of a triangle? Express your answer as a common fraction.
6C3 = 20 combinations.
{2, 3, 4} | {2, 4, 5} | {2, 5, 6} | {3, 4, 5} | {3, 4, 6} | {3, 5, 6} | {4, 5, 6} =7 possible sides of a triangle.
Probability = 7 / 20