Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
More can be learned about the permutation formula at https://brainly.com/question/25925367
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