2. A railway conductor discovers that of the 18 passengers in a train coach, 5 refused to sit facing forward and 4 refused to sit facing backwards. There are 10 seats in the coach facing forward and 8 seats facing backward. How many ways can the conductor arrange the passengers?.
SOLUTIONS. N1= 10C5 = 252 N2= 8C4 = 70 N = N1 X N2 = (252)(70) = 17,640 ways.