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Mathematics 14 Online
OpenStudy (anonymous):

An ice cream shop has 5 types of ice cream and 16 types of toppings. If one type of ice cream and two different types of toppings are chosen at random, how many combinations are possible? A. 16 × 15 × 14 B. 5 × 16 × 15 C. 16 × 16 × 16 D. 5 × 16 × 16

OpenStudy (anonymous):

so number of ice cream * number of toppings * number of toppings you have left (if you just picked one)

OpenStudy (anonymous):

Well, the first thing we have to do is choose a kind of ice cream. There would be five ways to do that. Then we have to choose a topping. There are sixteen, and they are independent of the choice of ice cream, so the possible ways to choose ice cream and one topping is five time sixteen, about eighty. The last step is to choose the second topping. Since we already chose one, there are fifteen left to choose from, and again the choice is independent of the previous choices, so we multiply. Five time sixteen times fifteen is about twelve hundred different combinations.

OpenStudy (anonymous):

What do you think?

OpenStudy (anonymous):

well i think it's B, but i'm not sure.. Doe's B sound right?

OpenStudy (anonymous):

*Does

OpenStudy (anonymous):

I think that's what I said above.

OpenStudy (anonymous):

Okay, thanks(:

OpenStudy (anonymous):

No sweat.

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