Final answer:
The question asks how many different samples of 5 chips can be chosen from a batch of 140 chips. We calculate this using combinations, resulting in C(140, 5), which provides the total number of samples possible.
Step-by-step explanation:
The question concerns the number of different samples of semiconductor chips that can be chosen from a batch. We have a batch of 140 semiconductor chips, from which 5 chips are to be selected for inspection. Since the order of selection does not matter, we use combinations to calculate the total number of different samples possible.
To determine the number of combinations, we use the combination formula C(n, k) = n! / (k! * (n - k)!), where n is the total number of items to choose from, and k is the number of items to choose. In this case, n is 140, and k is 5.
Calculating the combinations, we have:
C(140, 5) = 140! / (5! * (140 - 5)!) = 140! / (5! * 135!)
This calculation will give us the total number of different samples that are possible.
The concept here is applicable to statistics and probability, where drawing samples and calculating the likelihood of various outcomes is fundamental. Understanding how to compute combinations allows us to address problems such as determining the probability of selecting defective chips or setting up experiments that simulate random events, as seen in binomial distributions.