Ebony and her sister want to open a store where children can buy a doll that they can personalize
themselves. They plan to name the store "Make a Friend!" Children purchasing a doll at the store can choose
the doll's hair color, as well as an outfit that consists of a top and a bottom. The possible choices are:
Hair color: brown, black, or blonde
Top: pink ruffle blouse, blue tank top, black T-shirt
Bottom: Pink skirt, blue jeans, black pants, brown shorts
(a) How many different unique dolls are possible? Show your work
(b) What are all the possible combinations of hair color, tops, and bottoms? Use a tree diagram or an
organized list
(c) Ebony wants to advertise that there are at least 100 different types of dolls available. If she adds
another category to make this advertisement true, what is the minimum number of options she will
need in this new category? Explain your reasoning,
(d) Ebony's sister says she wants to keep costs down by making sure they add the fewest number of
options needed to make the above advertisement true. She believes it would be better to just
increase the number of options in each of the current categories. Is Ebony's sister right? Explain your
reasoning
(e) Ebony comes up with a fun promotion called "Mismatch Day." using the current options. The
promotion gives customers a 10% discount if they choose an outfit in which the colors of the top and
the bottom do not match. How many fewer choices of dolls do customers have if they take advantage of this promotion? Show your work
Please help ASAP