Exploring Anchor Task 1: Double Scoop Cones Assignment Help
An ice cream shop sells different flavors of ice cream. How many different ice cream cones can be made, if each ice cream cone has 2 scoops of ice cream?
Task #1
Assume the following constraints:
You can’t have two scoops of the same flavor (i.e., no vanilla-vanilla).
Order doesn’t matter (i.e., we count vanilla-chocolate and chocolate-vanilla as the same)
Solve the problem for 31 flavors of ice cream and explain your solution fully, using at least one diagram. You can use the solution for 6 flavors in your explanation. You may use ideas shared by colleagues.
Generalize! Use words, algebra and/or diagrams to represent the number of ice cream cones for any number of flavors.
Task #2
Change the constraints! How many different double-scoop cones can we make in each of the following situations? Explore these other sets of constraints for 6 flavors.
(Challenge: How many would there be for 31 flavors? Any number of flavors?)You now can have two scoops of the same flavor (vanilla – vanilla) and you count strawberry-chocolate and chocolate-strawberry as different.
You still can’t have two scoops of the same flavor (vanilla – vanilla), but you count strawberry-chocolate and chocolate-strawberry as different.
You now can have two scoops of the same flavor (vanilla – vanilla), but you still count strawberry-chocolate and chocolate-strawberry as the same.