Ice-cream-o-Rama is eager to advertise how many flavors it has. But it really only has three basic flavors: chocolate, vanilla, and strawberry. However, they can make "new" flavors by taking four scoops of ice cream of those basic flavors and blending them together. Different proportions of the basic flavors give different new flavors. How many total flavors can Ice-cream-o-Rama now advertise?
This is really difficult, can I get help?
We have to take at least two scoops of one flavor if we use 4 scoops
I'm also assuming that we don't necessarily have to use all the flavors at once, but we must use at least two of the flavors
Here's the way I would do this.......but....maybe not the fastest
Flavors Vanilla Chocolate Strawberry
Scoops 2 1 1
1 2 1
1 1 2
1 3 0
2 2 0
3 1 0
1 0 3
2 0 2
3 0 1
0 1 3
0 2 2
0 3 1
If we have to use all 3 flavors......there are 3 new flavors......using my assumption adds 9 more