The following data was collected from a simple random sample of a population. $$\begin{array} { l l l l l }
13 & 15 & 14 & 16 & 12
\end{array}$$ If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?
A) 60
B) 210
C) 3024
D) 362880

Question

The following data was collected from a simple random sample of a population. $$\begin{array} { l l l l l } 
13 & 15 & 14 & 16 & 12
\end{array}$$ If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?
A) 60
B) 210
C) 3024
D) 362880

Quizplus · Accepted Answer

The number of different random samples of size 6 that can be drawn from a population of 10 elements is calculated using the combination formula $\binom{n}{r} = \frac{n!}{r!(n-r)!}$, where $n$ is the total number of elements in the population and $r$ is the sample size. Here, $\binom{10}{6} = \frac{10!}{6!4!} = 210$.

The Following Data Was Collected from a Simple Random Sample 1315141612\begin{array} { l l l l l } 13 & 15 & 14 & 16 & 12\end{array}13​15​14​16​12​

The Following Data Was Collected from a Simple Random Sample $\begin{array} { l l l l l } 13 & 15 & 14 & 16 & 12\end{array}$