How many different samples of size 8 can be selected from a population with a size of 12 ?
Consider two cases: samples without replacement (the order of elements in samples does not matter) and samples with replacement (the order of elements in the sample matters). In the first case we receive . The number of different samples is equal to the number of subsets of size of the set of size . The number of samples with replacement (the order of elements matters) is equal to . We used the multiplication principle of combinatorics.
Answer: there are samples without replacement(the order of elements does not matter) and samples with replacement(the order of elements matters).
Comments
Leave a comment