Respuesta :
Using it's concept and the combination formula, it is found that there are 364 elements in the sample space for this experiment.
What is the sample space of an experiment?
- The sample space is the set that contains all possible outcomes for an experiment.
- In this problem, the order in which the vegetables are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
We have that 3 vegetables are taken from a set of 14, hence:
[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]
There are 364 elements in the sample space for this experiment.
You can learn more about sample space at https://brainly.com/question/25861936
