Question

An experimenter is randomly sampling 4 objects in order from among 41 objects. What is the total number of samples in the sample space?

Answer 1

An experimenter is randomly sampling 4 objects in order from among 41 objects. What is the total number of samples in the sample space?

Answer: There are 41 objects in total.

An experimenter needs to randomly select 4 objects in order among 41 objects.

Please note an experimenter needs to select random sample in order. Therefore, we need to use Permutation formula to find the total possible samples in the sample space.

$41P4=\frac{41!}{(41-4)!}$

              $=\frac{41}{37!}$

              $=2430480$

Therefore, the total number of samples in the sample space is $2430480$