Many problems in probability require that we count the number of ways that a par

Many problems in probability require that we count the number of ways that a particular event can occur or the number of outcomes in the sample space. To do this, we need to use counting techniques. One such technique is called the Fundamental Counting Principle: in a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed.
Initial Post:
You just started a new job, and your company has paid for new work attire! You are curious how many outfits you can create and use the Fundamental Counting Principle to find out.
Use the Virtual Dice Roller and roll two dice three times (or grab a pair of dice at home!).
Record the sum of the two dice for each virtual roll.
The first virtual roll is how many work shirts you have in your closet.
The second roll is how many pairs of work pants you have in your closet.
The third roll is how many pairs of work shoes you have in your closet.
Calculate and explain how many different ways can you dress every morning. Show all calculations.
Classmate replies:
Please respond to three classmates this week. Ideas include:
Add one to the number of work shirts your classmate has in their closet; how does this change the number of ways they can dress for work?
Subtract one from the number of pairs of work pants your classmate has in their closet; how does this change the number of ways they can dress for work?
Add one to every category of work attire your classmate has in their closet (shirts, pants, and shoes); how does this change the number of ways they can dress for work?