In a batch of 10 items you wish to extract sample 3 without replacement How many different samples can extract?

In a batch of 10 items, there are C(10,3) ways to extract a sample of 3 items without replacement.

The combination formula C(n, r) gives the number of ways to select r items from a set of n items. In this case, n = 10 and r = 3, so:

C(10,3) = 10! / (3! * 7!) = 120

Therefore, there are 120 different samples of 3 items that can be extracted from a batch of 10 items without replacement.