Posted by Samir on Tuesday, January 22, 2008 at 7:12pm.
1:A train is to consist of three flatcars, five tankers, six boxcars, an engine and a caboose.In how many ways can the train be made ?

Data managment math  Damon, Tuesday, January 22, 2008 at 8:26pm
I will assume engine up front and caboose at the rear so the different ways relate to the other cars.
Now we do not know if the tankers are all picked up together and the flatcars together etc. or not. In practice that would be likely because they would come from different places, so I will assume that you have a group of 3, a group of 5 and a group of 6
Now those three groups can be arranged in 3! = 6 ways
If it does not matter what order the cars are in within the groups, you are finished. However if it does, we need to go on.
The permutations of 3 is 3! = 6
of 5 is 5! = 120
of 6 is 6! = 720
so we have the original 6 for the three groups times all the permutations within the groups
6*6*120*720
Answer This Question
Related Questions
 physics  An engineer of a passenger train traveling at 25.0 m/s sights a ...
 Physics  the engineer of a passenger train traveling at 25.0 m/s sights a ...
 Math  Train A and train B leave station going in opposite directions. Train B ...
 physics  The engineer of a passenger train traveling at 25.0 m/s sights a ...
 Physics  the engineer of a passenger train traveling at 100 ft/sec sights a ...
 10th grade Geometry  Lorenzo's model train is 1/87 the size of the original ...
 physics  Consider the freight train in Figure below. Suppose 17 boxcars pass by...
 AP Physics PLEASE HELP DUE TOMORROW  Consider the freight train. Suppose 15 ...
 physics  A 2.6 kg toy locomotive is pulling a 1.7 kg caboose. The frictional ...
 Physics  A train on a mountain railway is carrying 200 people of average mass ...
More Related Questions