Question

An experimenter is randomly sampling 3 objects in order from among 48 objects. What is the total number of samples in the sample space? 17296 14190 311328 103776 85140

Answer 1

103776

Explanation:

The size of the sample space is calculated using permutation. Permutation will be used because in question it is mentioned that sampling objects are sampled in order from 48 objects. The order is discussed so, the permutation is used.

nPr=n!/(n-r)!=48P3=48!/(48-3)!=48!/45!=103776

Hence the total number of objects in sample space are 103776.