An ice cream parlor offers a special consisting of three scoops ofice cream chos

Question

An ice cream parlor offers a special consisting of three scoops ofice cream chosen from 14 differentflavors. Duplication of flavors is allowed. For instance, onepossibility is two scoops of chocolate and one scoop of vanilla.Find the following. (a) The number of ways to choose three scoopsof ice cream with all different flavors.


(b) The number of ways to choose three scoops of ice cream with twoflavors the same.

(c) The number of ways to choose three scoops of ice cream with allthree scoops the same.


(d) The total number of different possible choices for thespecial.
(a) The number of ways to choose three scoopsof ice cream with all different flavors.


(b) The number of ways to choose three scoops of ice cream with twoflavors the same.

(c) The number of ways to choose three scoops of ice cream with allthree scoops the same.


(d) The total number of different possible choices for thespecial.

Explanation / Answer

a) 14x13x12 = 2184 b) 14x13 = 182 c) 14 d) What is the question asking? If it's the amount of toppings fora three coned ice cream with different toppings, this it's 2184. Ifit's just one flavor, 14.

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