5. Suppose we were fortunate enough to win one of these gift cards. We go to Cin

Question

5. Suppose we were fortunate enough to win one of these gift cards. We go to Cinnaholic and look at the menu. There are 27 types of icing and 20 toppings we can put on our roll. a. If I can choose one icing and one topping, how many different rolls can I create? b. If I can choose 2 icing flavors on my roll, and order does not matter, how many different icing combos can I have? c. If cream cheese icing is an option, how many of the rolls from part b will include cream cheese as one of the icing flavors? d. If I can choose 3 toppings on my roll and order does not matter, how many topping combos can I have? e. If oreos are a topping option, how many of the rolls from part d will include oreos as one of the toppings?

Explanation / Answer

a. 27*20 = 540

b.(27-1) ! = 26!

c. If cream cheese is an option, the rest of options are 26 in number so 26 different combos are possible.

d. 4698 combos are possible

e. If oreos are a topping option, 987 rolls will be there.

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