Respuesta :
By using the concept of permutation and combination, it can be calculated that
Number of ways of selecting two scoop ice cream if order matters = 600
Number of ways of selecting two scoop ice cream = 300 ways
What is permutation and combination?
Permutation is the process of arranging some of the objects taken where the order of the selection matters.
Combination is the process of selection of items from a group of objects where the order of selection does not matter.
Here,
The concept of permutation and combination is used
Number of flavors of ice cream an ice cream parlor offers = 25
Here, order matters
For the first scoop, there are 25 choices
For the second scoop, there are 24 choices
Number of ways of selecting two scoop ice cream if order matters =
25 [tex]\times[/tex] 24
= 600
If no flavors are repeated,
Number of ways of selecting two scoop ice cream = [tex]{25 \choose 2}[/tex] = 300 ways
To learn more about permutation and combination, refer to the link-
https://brainly.com/question/4658834
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