Final answer:
A tree is a connected acyclic graph, and a forest is a disconnected acyclic graph. To draw all trees of order 5, consider all possible ways to connect 5 vertices without cycles. For drawing forests of order 6, consider all possible combinations of trees with a total order of 6.
Step-by-step explanation:
A tree is a connected acyclic graph, meaning it has no cycles and is connected. The order of a tree is the number of vertices it has. In this case, we are asked to draw all trees of order 5. To do this, we should consider all possible ways to connect 5 vertices without creating any cycles. There are several trees of order 5, such as the star tree and the path tree.
A forest is a disconnected acyclic graph, meaning it consists of multiple disjoint trees. The order of a forest is the sum of the orders of its constituent trees. To draw all forests of order 6, we need to consider all possible combinations of trees that have a total order of 6. For example, we can have two trees of order 3 or three trees of order 2.