There are 6 couples. If they will sit 12 chairs in a row such that each couple sits side by side, how many possible cases are there?
Choose the correct answer.
A) 120 B) 240 C) 1,200 D) 46080 E) 3,840
Tie the couples. Then we have 6 persons that have to be arranged in 6 places. 6! ways.   Now the couples can change position with each other. 2! ways.   6! * (2!)^6=720 *64= 
<gadget id="calculator">720 *64</gadget>
<output>46_080</output>
46080   Answer is 46080.
<result>D</result>
There are 6 couples. If they will sit 12 chairs in a row such that each couple sits side by side, how many possible cases are there?