A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected. What is the size of the sample space?

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04-05-2022
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A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected. What is the size of the sample space?

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-05-11T07:54:06+02:00

The size of the sample is 20C_5 or 15504 if the five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected.

What is permutation and combination?

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have total number of students in a class = 20

An outcome of the selection process is the set of five kids selected.

A team of 5 kids choosen from a class of 20 students in [tex]_{20}^{}\textrm{C}_5[/tex]

So the size of samples = [tex]_{20}^{}\textrm{C}_5[/tex] = 15504

Thus, the size of the sample is 20C_5 or 15504 if the five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected.

Learn more about the permutation and combination here:

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