Final answer:
A pollster can form 330 different groups of four by randomly selecting 4 out of 11 available people, using the combination formula C(11, 4).
Step-by-step explanation:
To determine the number of different groups of four that can be formed from 11 available people, we can use the combination formula, which is expressed as C(n, k) = n! / (k!(n - k)!), where n is the total number of items, k is the number of items to choose, and ! denotes factorial. In this case, n is 11 since there are 11 people to choose from, and k is 4 because we are forming groups of four.
The calculation would therefore be C(11, 4) = 11! / (4!(11 - 4)!) = 11! / (4!7!) = (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1) = 330.
So, a pollster randomly selected 4 of 11 available people can form 330 different groups of four.