you are planning your outfit for a day out with friends. You have four different tops, Three different pants, and two different pairs of shoes to choose from. you are confused about which top,pants,and shoes to wear. So, you want to try different combinations to see which best suits you. How will you use the tree diagram strategy to determine how many different outfit combinations you can make? in mathematics

1 answer

To determine how many different outfit combinations you can make using the tree diagram strategy, you will create a diagram that branches out for each decision you need to make. In this case, you need to make decisions about which top, pants, and shoes to wear.

Start by drawing a line as the main branch of the tree diagram. At the end of this line, label it as "Tops."

From the "Tops" branch, draw three branches, one for each top option you have. Label each branch with the corresponding top option.

From each top branch, draw three branches for the pants options. Label each branch with the corresponding pants option.

From each pants branch, draw two branches for the shoes options. Label each branch with the corresponding shoes option.

At the end of each shoe branch, indicate that it is the end of the "outfit" combination.

Count the number of end points (outfit combinations) on the tree diagram. This will give you the total number of different outfit combinations you can make.