An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and 12 toppings. a. In how many ways can a dish of three scoops of ice cream be made where each flavor can be used more than once, and the order of the scoops does not matter? b. How many kinds of small sundaes are there if a small sundae contains one scoop of ice cream, a sauce, and a topping?

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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An ice cream parlor has 28 different flavors, 8 different kinds of sauce, and
12 toppings.
a. In how many ways can a dish of three scoops of ice cream be made
where each flavor can be used more than once, and the order of the
scoops does not matter?
b. How many kinds of small sundaes are there if a small sundae
contains one scoop of ice cream, a sauce, and a topping?

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