A candy shop offers 28 different types of candy and 12 different flavors. Answer questions (1) through (4) using the appropriate counting technique (multiplication principle, arrangements with repetitions, permutations, or combinations). a. How many different boxes of candies can you create using one type of candy and one flavor?
How many different boxes of candies you can you create?
b. How many different triple sets of candies can you create (the box has three partitions) from the 28 types of candies if the same type may be used more than once?
n=
r=
How many different triple sets of candies you can create?
c. Using 28 types of candies, how many different triple sets of candies can you create with 3 different types of candies if you specify which type goes on the left, middle, and right partition in the box?
n=
r=
npr=
d. Using the 28 types of candies, how many different triple sets of candies can you create with 3 different types of candies if you don't care about the order of the types of candies in the box?
n=
r=
npr=