Asked by Kaden Evans on Jun 10, 2024
Verified
From a group of 12 students, we want to select a random sample of 5 students to serve on a university committee.How many combinations of random samples of 5 students can be selected?
A) 60
B) 95,040
C) 25
D) 792
Random Sample
A subset of a statistical population in which each member has an equal chance of being chosen for analysis or observation.
University Committee
A group of faculty members and sometimes students who come together to make decisions or manage certain aspects of university governance.
- Compute the quantity of potential simple random samples that can be drawn from a specified population size.
Verified Answer
MM
Melissa MarroquinJun 11, 2024
Final Answer :
D
Explanation :
The formula to find the number of combinations of selecting a sample of size r from a population of size n is given by:
C(n, r) = n! / (r! * (n-r)!)
For the given problem, we want to select a random sample of 5 students from a group of 12, so n = 12 and r = 5. Plugging these values into the formula, we get:
C(12, 5) = 12! / (5! * (12-5)!) = 792
Therefore, there are 792 different combinations of selecting a random sample of 5 students from a group of 12. The correct answer is D.
C(n, r) = n! / (r! * (n-r)!)
For the given problem, we want to select a random sample of 5 students from a group of 12, so n = 12 and r = 5. Plugging these values into the formula, we get:
C(12, 5) = 12! / (5! * (12-5)!) = 792
Therefore, there are 792 different combinations of selecting a random sample of 5 students from a group of 12. The correct answer is D.
Learning Objectives
- Compute the quantity of potential simple random samples that can be drawn from a specified population size.