7th grade
posted by Alexia .
How many combinations can you make with 3 toppings?
Ice Cream: Vanilla/ Chocolate/ Strawberry/ Coffee
Toppings: Fudge/ Caramel/ Chocolate Sprinkles/ Rainbow Sprinkles/ Nuts

there are C(5,3) or 10 combinations to choose 3 toppings from 5
If your questions is, "How many different ice cream cones can you have with three toppings"?
then it would be 3 x C(5,3) or 30 
How did you figure out the 30 and what does the c stand for?

Also what is the (5,3); I didn't learn that yet.

Sorry Alexia, should have noticed the "7th grade"
Suppose we use F,C,S,R, and N for the different toppings.
Now we want to form groups of 3 where the order does not matter.
so
FCS
FCR
FCN
FSR
FSN
FRN
CSR
CSN
CRN
SRN
There are 10 of these. Can you think of any more?
Now to the icecream.
there are 3 flavours, so each of the above 10 can be put on 3 different flavours, which give me 3x10 or 30
The notation C(5,3) you will learn in highschool, the C stands for Combinations, and the 5,3 means "choose 3 from 5"
For some extra "fun" you might look up Pascal's triangle, where numbers are arranged in the following pattern
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
the first column is all 1's
the second column is the counting numbers.
A new number is found by adding the one directly above and the one to the left of that
e.g. the 10 came from the 6 above it + the 4 to the left of the 6
Neat??
Respond to this Question
Similar Questions

Creative Writing
this is one of my assignments that i'm stuck on: write down your three favorite flavors of ice cream and three different toppings. Classify the information by pairing each flavor of ice cream with each topping. List some of the words … 
7th grade Math
How many combinations can you make with 3 toppings? 
Probability
The local ice cream stand offers three flavors of softserve ice cream: vanilla, chocolate, and strawberry: two types of cone: sugar and wafer: and three toppings: sprinkles, nuts, and cookie crumbs. If Dawn does not order vanilla … 
7th grade math
Sally makes an ice cream sundae. She can choose from vanilla, chocolate, or strawberry ice cream, fudge or caramel topping, and sprinkles or nuts. Write an expression to show how to find all the different combinations. I'm not sure … 
7th grade math
Sally makes an ice cream sundae. She can choose from vanilla, chocolate, or strawberry ice cream, fudge or caramel topping, and sprinkles or nuts. Write an expression to show how to find all the different combinations. I'm not sure … 
Math
At an ice cream there there are 10 flavors of ice cream, four toppings, three types of sprinkles, and either whipped cream or chocolate sauce. How many combinations of ice cream are there? 
math help azap
The twoway table shows poll results for preferred flavor of ice cream, vanilla or chocolate, and preferred topping, sprinkles or nuts. Of the people polled, how many chose vanilla ice cream? 
Probability! Check please!
An ice cream shop offers the toppings shown below. How many 4topping ice cream sundaes can you make? 
Please check Ms. Sue on math!
An ice cream shop offers the toppings shown below. How many 4topping ice cream sundaes can you make? 
Math
The yogurt cart has the following three flavors: chocolate, vanilla, and strawberry. Yogurt comes in a cup or a cone. You can have no sprinkles, chocolate sprinkles, or rainbow sprinkles. How many different choices are there?