A population consist of multiple of five numbers where is 5, 10, 15, 20, 25, and 30 with sample size of 2. What is the number of possible samples?
Question
A population consist of multiple of five numbers where is 5, 10, 15, 20, 25, and 30 with sample size of 2. What is the number of possible samples?
Solution
The number of possible samples can be calculated using the combination formula, which is C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.
In this case, the total number of items n is 6 (5, 10, 15, 20, 25, and 30) and we are choosing r=2 items.
So, the number of possible samples is C(6, 2) = 6! / [2!(6-2)!] = 720 / [2*24] = 15.
Therefore, there are 15 possible samples of size 2 from this population.
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