To determine the total number of unique outfit combinations that Sam can create with his hats and scarves, we can use the basic principle of counting in combinatorics. This principle states that if you have m ways to do one thing and n ways to do another, then the total number of combinations of both actions is m × n.
In this case, Sam has:
- 6 different hats
- 3 different scarves
To find the number of unique combinations, we multiply the number of hats by the number of scarves:
Number of combinations = Number of hats × Number of scarves
Calculating this gives us:
Number of combinations = 6 hats × 3 scarves = 18 unique combinations
Therefore, Sam can create a total of 18 different combinations of outfits using his hats and scarves.