If 4 people are selected from a group of 9 married couples, what is the probability that none of them would be married to each other?  Choose the correct choice from the following options:
A) 1 / 33  B) 2 / 85  C) 1 / 3  D) 56 / 85  E) 11 / 85

Rationale: if we are to select 4 people from 9 couples without any restriction , how many ways can we make the selection ? 18 ! / 4 ! 14 ! = 3060 if we are to select 4 people from 9 couples with restriction that no married couple can both make it to the group , only a representative ? 9 ! / 4 ! 5 ! = 126 but we know that to select a person from each couple , take 2 possibilities 126 * 2 * 2 * 2 * 2 = 2016 probability = desired / all possibilities = 2016 / 3060 = 56 / 85 answer : d
Answer: D