Question 1196898
To solve this problem, we can break it down into cases based on the number of attributes that are the same for all three cards in a set.

**Case 1: 0 matching attributes**

In this case, all four attributes must be different for each card. For the first card, we have 3 choices for each attribute. For the second card, we have 2 choices for each attribute (since it can't be the same as the first card). For the third card, we have 1 choice for each attribute (it must be different from the first two).

So, the number of sets with 0 matching attributes is:

3 * 3 * 3 * 3 * 2 * 2 * 2 * 2 * 1 * 1 * 1 * 1 = 3^4 * 2^4 = 54648

**Case 2: 1 matching attribute**

We can choose one of the four attributes to be the same for all three cards. For the chosen attribute, we have 3 choices. For the other three attributes, we can use the same logic as in Case 1.

So, the number of sets with 1 matching attribute is:

4 * 3 * 3 * 3 * 2 * 2 * 2 * 2 * 1 * 1 * 1 * 1 = 4 * 3^3 * 2^4 = 26352

**Case 3: 2 matching attributes**

We can choose two of the four attributes to be the same for all three cards. For each of the chosen attributes, we have 3 choices. For the other two attributes, we can use the same logic as in Case 1.

So, the number of sets with 2 matching attributes is:

(4 choose 2) * 3 * 3 * 2 * 2 * 1 * 1 * 1 * 1 = 6 * 3^2 * 2^2 = 4212

**Case 4: 3 matching attributes**

We can choose three of the four attributes to be the same for all three cards. For each of the chosen attributes, we have 3 choices. For the remaining attribute, we have 3 choices.

So, the number of sets with 3 matching attributes is:

(4 choose 3) * 3 * 3 * 3 = 4 * 3^3 = 108

Therefore, the total number of sets with 0, 1, 2, or 3 matching attributes is:

54648 + 26352 + 4212 + 108 = 85320