Answer to Question #346661 in Statistics and Probability for lay

Question

A population consists of six values: 1, 3, 5, 7, 8 and 9. Determine the number of samples

Answer 1

We have population values $1,3,5,7,8,9$ population size $N=6$ and sample size $n=2.$

Thus, the number of possible samples which can be drawn without replacement is $\dbinom{6}{2}=15.$

We have population values $1,3,5,7,8,9$ population size $N=6$ and sample size $n=3.$

Thus, the number of possible samples which can be drawn without replacement is $\dbinom{6}{3}=20.$