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Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

Answer :

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

  • n = 8
  • r = 3

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