A set is (12.5, 10, 11.5, 10.5, 12, 13)
How many ways can we make a random sample of size 3
To determine the number of ways we can make a random sample of size 3 from the given set, we need to calculate the number of combinations.
We can use the combination formula, which is given by:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of elements in the set and k is the number of elements in the sample.
In this case, n = 6 (the set has 6 elements) and k = 3 (we want to create a sample of size 3).
Using the combination formula, we can calculate the number of ways as:
C(6, 3) = 6! / (3! * (6-3)!)
= 6! / (3! * 3!)
= (6 * 5 * 4) / (3 * 2 * 1)
= 20
Therefore, there are 20 ways to make a random sample of size 3 from the given set.