How many subsets of the set {1, 2, 3, 4} that contain 3?Select one:a.9b.3c.8d.16

The question is asking for the number of subsets of the set {1, 2, 3, 4} that contain the number 3.

Here are the steps to solve this:

1. First, remove the number 3 from the set, because we know that every subset we're counting must include 3. This leaves us with the set {1, 2, 4}.

2. Now, we need to find the number of subsets of this new set. The number of subsets of a set with n elements is 2^n. In this case, n = 3 (the numbers 1, 2, and 4), so the number of subsets is 2^3 = 8.

3. However, these are the subsets of {1, 2, 4}. Since we know that every subset we're counting must include 3, we can simply add 3 back into each of these subsets. This doesn't change the number of subsets, so the final answer is still 8.

So, the correct answer is c. 8.