Let K be the product of all factors (b-a) (not necessarily distinct) where a and b are integers satisfying 1 \leq a<b \leq 20. Find the greatest positive integer n such that 2^{n} divides K.
Let K be the product of all factors (b-a) (not necessarily distinct) where a and b are integers satisfying 1 \leq a<b \leq 20. Find the greatest positive integer n such that 2^{n} divides K.