Ashely have 56 ways to choose from
This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.
Permutation
This is the process of arranging a particular set of data in different ways.
Since Ashely is choosing 3 desserts out of 8 in no specific ways
[tex]P=\frac{n!}{(n-r)!}[/tex]
Where n = total number of ways available
r = total numbers that would be selected.
Data given
Let's substitute these values into the equation.
[tex]P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56[/tex]
From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.
Learn more about permutation here;
https://brainly.com/question/11871015