Answer:
there are 7776 possible combinations of shirts, pants, and shoes.
Explanation:
If James has 28 shirts, 18 pairs of pants, and 16 pairs of shoes in his closet, and he wants to wear his favorite shirt, we can calculate the number of combinations of shirts, pants, and shoes without considering the favorite shirt and then multiply it by the number of choices for the favorite shirt.
Number of options for pants = 18
Number of options for shoes = 16
needs to choose one shirt from the remaining 27 shirtsSince James wants to wear his favorite shirt, he only (excluding the favorite shirt).
Number of options for the favorite shirt = 1
To calculate the total number of combinations, we multiply the choices for each category:
Total combinations = Number of shirts × Number of pants × Number of shoes
Total combinations = 27 (number of shirts) × 18 (number of pants) × 16 (number of shoes) = 7776 combinations.
Therefore, assuming James wears his favorite shirt, there are 7776 possible combinations of shirts, pants, and shoes.