The digits of the three-digit integers a, b, and c are the nine nonzero digits 1, 2, 3, ..., 9, each of them appearing exactly once. Given that the ratio a:b:c is 1:3:5, determine a, b, and c.
Let a, b and c be constants, find all solutions of the following equation:
\(\left(x-a\right)\left(x-b\right)=\left(c-a\right)\left(c-b\right)\)
Calculate the crossed area in the figure below:
1
Given 2n points in a plane with no three of them collinear, Show that they can be divided into n pairs such that the n segments joining each pair do not intersect