Hello can someone please help me with this question and understand it. Thank you!

Using combination and permutations, how can I figure this out or solve it?

Basics of counting -- Model I. The Rule of Sums.

1. THE BIG QUESTION: You are getting dressed for school and you must decide what to wear. You have 3 button-up shirts and 6 T-shirts, and 4 sweatshirts. You also have 4 pairs of shorts and 8 pair of long pants. For shoes you have 5 pair of shoes. In this activity we will determine the number outfits we could create

A. Can you select more than one shirt?

B. How many total shirts do you have to choose from?

C. How did we derive the total number of choices for a shirt?

(THE SUM RULE:If the list to count can be split into k disjoint pieces of size n₁, n₂, ..., and n_k- then the count for the entire list is n₁+ n₂+ ...+ n_k. In terms of sets, we can write as: n(A B C ... Z) = n(A) + n(B) + n(C) + ...+ n(Z).HINT:When the parts are connected by"either/or"youaddthe sizes to get the total.)

D. How many choices of shirts do you have?

Pants?

Shoes?

E. Once you chosen your shirt - paint/shorts combination, complete outfits are possible (shirt, paints/shorts, and shoes)?

(THE PRODUCT RULE:If the procedure can be broken down into a sequence of k tasks and there are n₁ways to do the first task and n₂ways to do the second task ... and n_kways to do the k^thtask, then there aren₁ n₂ ... n_kways to complete the procedure.HINT:When the parts are connected by"and"youmultiplyto get the total.)