I need assistance in writing/answering using the proper text for Discrete Math/Statistical Math. Here is the problem:

A building supplies store carries metal, wood, and plastic moldings. Metal and wood moldings comes in two different colors. Plastic moldings comes in six different colors.

a.) How many choices of molding does this store offer?

On the first glance, I would have answered 3; however, I am assuming they are counting each color as well. I know metal=2, wood=2, and plastic=6. Making this 2+2+6=10

b.) If each kind and each color of molding comes in four different lengths, how many choices does the consumer have in the purchase of one piece of molding?

Metal=1(color)x4(lengths)+1(color)x4(lengths)=8 choices (long version)

Wood=2(color)x4(lengths)=8 choices

Plastic=6(color)x4(lengths)=24 choices

8+8+24=40 total choices