The president of a country and 6 other dignitaries are scheduled to sit in a row on the 7 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Options
A) 720
B) 5
C) 20
D) 24
E) 120
IMO A   Given that one chair is taken, i think the remaining 6 dignitaries can be arranged 6!. That is 6*5*4*3*2*1= 
<gadget id="calculator">6*5*4*3*2*1</gadget>
<output>720</output>
720.
<result>A</result>
The president of a country and 6 other dignitaries are scheduled to sit in a row on the 7 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?