A machine learning problem involves four attributes plus a class. The attributes have 3, 2, 2, and 2 possible values each. The class has 3 possible values. How many maximum possible different examples are there?

The correct answer is $\boxed{\text{D) 72}}$.

The number of possible examples is the product of the number of possible values for each attribute. In this case, there are 3 possible values for the first attribute, 2 possible values for the second attribute, 2 possible values for the third attribute, 2 possible values for the fourth attribute, and 3 possible values for the class. Therefore, the number of possible examples is $3 \times 2 \times 2 \times 2 \times 3 = 72$.

Option A is incorrect because it is the number of possible examples if each attribute had only 2 possible values. Option B is incorrect because it is the number of possible examples if each attribute had only 1 possible value. Option C is incorrect because it is the number of possible examples if each attribute had only 4 possible values.