Six new employees, two of whom are married to each other, are to be assignedsix desks that are lined up in a row. If the assignment of employees to desksis made randomly, what is the probability that the married couple will havenonadjacent desks?

Six new employees, two of whom are married to each other, are to be as

1.	Six new employees, two of whom are married to each other, are to be assignedsix desks that are lined up in a row. If the assignment of employees to desksis made randomly, what is the probability that the married couple will havenonadjacent desks?
Answer» Let the couple occupied adjacent desks consider those two as 1. There are (4+1)i.e., 5 persons to be assigned. `therefore"Number of ways of assigning these five person"=5!xx2!` `"Total number of ways of assigning 6 persons"=6!` `therefore"Probability that the couple has adjacent desk"=(5!xx2!)/(6!)=(2)/(6)=(1)/(3)` `"Probility that the married couple will have non-adjacent desks "=1-(1)/(3)=(2)/(3)`

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Six new employees, two of whom are married to each other, are to be assignedsix desks that are lined up in a row. If the assignment of employees to desksis made randomly, what is the probability that the married couple will havenonadjacent desks?

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