Question 841904: 4. An ice cream shop has 12 flavors of ice cream, 5 types of cones, and 3 toppings. To purchase a dessert, a customer must choose one flavor and one cone, and may choose one topping. (That is, the dessert must include one ice cream flavor, one cone, but not necessarily a topping. A topping is optional.) How many different desserts can be ordered? Work optional. 4. _______
A. 20
B. 21
C. 180
D. 240
HINT: There are several ways to solve the problem. Here is something to think about, in general: Declining an item actually is a choice. For example, suppose that a person has an option of choosing a sweetener for a coffee drink. The person might use sugar or a particular sugar-free substitute, or decline a sweetener. Declining a sweetener means choosing no sweetener. (choices are sugar, sugar-free, or none).
5. In how many ways can seven people arrange themselves to form a single line at a ticket booth? Work optional. 5. _______
A. 7
B. 42
C. 5,040
D. 823,543
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
12 flavors of ice cream, 5 types of cones, and 3 toppings(toppings optional)
How many different desserts can be ordered?
w/o topping + with topping: 12*5 + 12*5*3 = 240
In how many ways can seven people arrange themselves to form a single line at a ticket booth? 7!
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