A certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars? Choose the correct choice from the following options:	A) 3/1944	B) 1/96	C) 2/96	D) 1/1944	E) 1
If he is to ride 6 times and since he can choose any of the 6 cars each time, total number of ways is   = 6 * 6 * 6 * 6 * 6 * 6= 
<gadget id="calculator">6 * 6 * 6 * 6 * 6 * 6</gadget>
<output>46_656</output>
46656   Now the number of ways if he is to choose a different car each time is= 6 * 5 * 4 * 3 * 2 * 1= 
<gadget id="calculator">6 * 5 * 4 * 3 * 2 * 1</gadget>
<output>720</output>
720   So the probability is= 720/46656 = 3/1944   3/1944nswer : 3/1944
<result>A</result>
A certain roller coaster has 6 cars, and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 6 times, what is the probability that the passenger will ride in each of the 6 cars?