This seems to be horribly written. Example: >"In the German Lotto you have to select 6 numbers from the set {1,2,...,49}. A popular strategy top lay Lotto - although it doesn’t increase your chance of winning — is to select a subset S containing k (k > 6) of these 49 numbers, and then play several games with choosing numbers only from S. For example, for k = 8 and S = {1, 2, 3, 5, 8, 13, 21, 34} there are 28 possible…
The problem is your reading comprehension. That reads just fine to me. Pretty standard writing.
My reading comprehension is just fine, the following statement is full of ambiguity:
"subset S containing k (k > 6)"
A more articulate way to express that would be "subset S that contain k elements where k is greater than 6"