2. A personnel director for a corporation has hired ten new engineers. (8 points) a) If three (distinctly different) positions are open at the WinstonSalem office, in how many ways can the personnel director fill the open positions with the new engineers? (3 points) b) Suppose that two of the engineers are married. If the personnel director will be filling the positions randomly, what is the probability that the couple will both be assigned to the Winston-Salem office? (5 points)