Please solve the programming task below using a self-contained code snippet in a markdown code block.

You are given a 0-indexed array of positive integers nums. A triplet of three distinct indices (i, j, k) is called a single divisor triplet of nums if nums[i] + nums[j] + nums[k] is divisible by exactly one of nums[i], nums[j], or nums[k].
Return the number of single divisor triplets of nums.
 
Please complete the following python code precisely:
```python
class Solution:
    def singleDivisorTriplet(self, nums: List[int]) -> int:
```