Final answer:
To find out how many ways an examinee can answer five questions by selecting one from each of three parts of a test, we compute the combinations from each part and consider additional possibilities for the fifth question. The correct answer is 'none' since the calculated number of ways (768) is not listed among the given options.
Step-by-step explanation:
The original question asks in how many ways an examinee can answer five questions selecting one from each part of a test consisting of three parts (A, B, and C), each with four questions. To solve this mathematical problem completely, we must consider the combinations of ways an examinee can choose questions from each part.
To choose one question from each part, the number of ways is 4 for part A, 4 for part B, and 4 for part C. Since the selections from each part are independent, to find the total number of ways the examinee can select questions is to multiply the number of choices from each part. So, we calculate 4 (from A) x 4 (from B) x 4 (from C) = 4^3 = 64 ways.
However, the examinee needs to answer five questions, meaning they need to answer an additional question from any of the three parts. This additional question can be chosen in 4 ways from any of the three parts, making it 4 additional ways times 3 parts, resulting in 12 additional combinations.
Now, we multiply the initial 64 ways with the 12 additional ways. Hence, 64 x 12 = 768. This result is not listed in the given options, meaning the correct option answer in the final answer is 'none'.