In how many ways can a person order one ice cream cone with 3 different flavored of ice cream if there are 7 flavors to choose from and it matters to the person how the 3 flavors are stacked on the one cone? That is which flavor is on the top,middle,and bottom.
To solve this problem, we can use the concept of permutations.
Since there are 7 flavors to choose from, there are 7 options for the flavor on the top of the cone. After choosing the top flavor, there are 6 remaining flavors to choose from for the middle flavor. Finally, there are 5 remaining flavors to choose from for the bottom flavor.
Therefore, the total number of ways to order one ice cream cone with 3 different flavors is:
7 options for the top flavor × 6 options for the middle flavor × 5 options for the bottom flavor = 7 × 6 × 5 = 210.
So, there are 210 ways to order one ice cream cone with 3 different flavors if there are 7 flavors to choose from, and it matters to the person how the flavors are stacked on the cone.