1. Mr. G, a math teacher, is packing to vacation in a warm, sunny location. He does not want to pay the extra money for checked luggage and only takes one small carry-on bag. He wears a long sleeve shirt, pants and runners on the plane. He packs 3 more tops (a tank top, a t-shirt, and a golf shirt), and two more bottoms (one white pair and one green pair of shorts). He also packs one pair of sandals and a bathing suit.

a) Draw a tree diagram to represent the number of different outfits possible if he does not include the bathing suit in his choices. Hint: Make sure to include all other mentioned clothing including footwear.

b) Use the fundamental counting principle to determine the number of different outfits for part a.

c) Determine the total number of different outfits possible, if your math teacher decides to wear his bathing suit bottoms, with or without a top and with or without footwear.