The following data was collected from a simple random sample of a population. If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?
A) 2
B) 50
C) 252
D) 30,240

Question

The following data was collected from a simple random sample of a population.  If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?
A) 2 
B) 50 
C) 252 
D) 30,240

Quizplus · Accepted Answer

The number of different random samples of size r that can be drawn from a population of size n is given by the combination formula: C(n,r) = n! / (r!(n-r)!). In this case, n=10 and r=6, so the number of different random samples is C(10,6) = 10! / (6!(10-6)!) = 252.

The Following Data Was Collected from a Simple Random Sample