I was working on the following problem from my textbook:
3.2 An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If an agency receives 3 of these automobiles at random, list the elements of the sample space S, using the letters B and N for blemished and nonblemished, respectively; then to each sample point assign a value x of the random variable X representing the number of automobiles with paint blemishes purchased by the agency.
Here is my sample space:
N B B x = 2
B N B x = 2
N N B x = 1
B B N x = 2
N B N x = 1
B N N x = 1
N N N x = 0
The accompanying solution manual for the book has the following listed:
Question: isn't their answer wrong? I was under the impression that there are strictly $2$ automobiles with paint blemishes, so how is it possible for $BBB$ to be an element of the sample space?