Solve problem 12, which involves selecting 5 people randomly from a group of 8, where 5 have skin rashes.

Here's the solution for question 12 using the combination method. We assume that "out of every 8 people examined, 5 of them had skin rashes" refers to a fixed group of 8 people, where 5 have rashes and 3 do not. We are selecting 5 people randomly from this group.

Let $N = 8$ be the total number of people.
Let $K = 5$ be the number of people with skin rashes.
Let $N-K = 3$ be the number of people without skin rashes.
Let $n = 5$ be the number of people selected.

The total number of ways to select 5 people from 8 is:

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