Question

14. Marian wants to buy a double scoop of ice cream. The ice cream shop has 23 flavours, which can be served in a regular cone, a sugar cone, or a dish. How many different combinations can Marian order?

Answer 1

1518 (pls tell me if my answer is wrong im trying to improve)

Explanation:

For the first scoop, Marian has 23 flavors to choose from. For the second scoop, it doesn’t state Marian wants separate flavors for the 2nd scoop and it’s asking for all the combinations so there is still 23 flavors to choose from. To find the total number of combinations we multiply the number of options for the first scoop by the number of options for the second scoop which is 529 different combinations. Since there are 529 different combinations for flavors in a regular cone, we can multiply this number by 3 to account for each type of serving. 529x 3 = 1587. Thefore, Marian can order a total of 1518 different combinations.

Answer 2

Marian can order 1,771 combinations

Explanation:

In this question, we are interested in calculating the number of combinations Marian can order given that there are 23 flavors that can be served in three ways.

Mathematically, the number of combinations that can be ordered is simply 23C3

This is equal to 23!/(23-3)!3! = 23!/20!3! = 1,771

The number of combinations she can order is thus 1,771 combinations