Question

Suppose you wanted to draw a quadrilateral using the dots below as vertices (corners). The dots are spaced one unit apart horizontally and two units apart vertically. How many quadrilaterals are possible?

Answer 1

There are 3,024 possible quadrilaterals using the given dots as vertices.

Step-by-step explanation:

To determine the number of possible quadrilaterals using the given dots as vertices, we can consider the choices for each vertex.

Starting with the first vertex, there are 9 dots to choose from. Once the first vertex is chosen, there are 8 dots remaining for the second vertex. For the third vertex, there are 7 dots left, and for the fourth vertex, there are 6 dots remaining.

Therefore, the number of possible quadrilaterals is 9 * 8 * 7 * 6 = 3,024.