Final answer:
To find the number of families of triplets shaking hands with each other, we need to consider that each family will shake hands with 'x - 1' other families. The total number of handshakes will be '3 * (x - 1)'. However, since the question doesn't provide the value of 'x', the exact number of handshakes cannot be determined.
This correct answer is none of the above.
Step-by-step explanation:
In this problem, we need to find the number of families of triplets who shake hands with each other, excluding their brothers and sisters' hands. To solve this, we need to consider that each family of triplets consists of three individuals.
Let's assume there are 'x' families of triplets. Each family will shake hands with the other families, excluding their own siblings. So, each family will shake hands with 'x - 1' other families. Therefore, the total number of handshakes will be '3 * (x - 1)'.
Since the question doesn't provide the value of 'x', we can't determine the exact number of handshakes. So, none of the given options - A, B, C, or D - can be chosen as the answer.
This correct answer is none of the above.