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Serjik [45]
3 years ago
11

From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin

ation of random samples of 4 students can be selected?
Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

C_{n,x} = \frac{12!}{4!(8)!} = 495

495 combinations of 4 students can be selected.

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