Final answer:
There are 56 points in the sample space.
Step-by-step explanation:
The sample space represents all possible outcomes of selecting 5 batteries at random from 8 different branded batteries. To find the number of points in the sample space, we need to determine the number of ways to select 5 batteries out of 8. This can be calculated using the combination formula:
C(8,5) = 8! / (5! * (8-5)!) = 56
Therefore, there are 56 points in the sample space.