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 6 that could be drawn from a population of 10 elements is given by the formula nCr = n! / r!(n-r)! where n is the population size and r is the sample size. So, in this case, the number of different samples = 10C6 = 10! / 6!4! = 252. Therefore, the correct answer is (C).

The Following Data Was Collected from a Simple Random Sample