Six new employees, two of whom are married to each other, are to be assigned six desks that are lined up in a row. If the assignment of employees to desks is made randomly, what is the probability that the married couple will have nonadjacent desks? (Hint: The event that the couple have non-adjacent desks is the complement of the event that they have adjacent desks.)
Six new employees. two of whom are married to each other, are to be assigned six desks that are lined up in a row. If the assignment of employees to desks is made randomly, wflat is the probability that the married couple will have nonadjacent desks? (Hint: First find the probability that the couple will have adjacent desks, and then subtract this number from
Given information:
We can consider the couple as one employ, then there are effectively
Concept used:
Probability of not occurring the event
Calculation:
Again the couple can interchange their desks to each other in
By multiplication rule, the number of ways to assign
By multiplication rule. the number of ways to assign desks such that couple has adjacent desks is