Data managment math

posted by .

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 -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Train A and train B leave station going in opposite directions. Train B leaves 1/2 later than train A. Train B travels 80km/h faster than Train A. In 2 hours the trains are 3200KMs apart. How fast is each train traveling.. thank you
  2. 10th grade Geometry

    Lorenzo's model train is 1/87 the size of the original train. He measures the engine of the model train and finds that it is 2.5 inches tall. What is the height of the real engine to the nearest foot?
  3. Physics

    the engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of …
  4. physics

    An engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the …
  5. physics

    The engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200 m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of …
  6. AP Physics PLEASE HELP DUE TOMORROW

    Consider the freight train. Suppose 15 boxcars pass by in a time of 14.0 s and each has a length of 14.0 m. (a) What is the frequency at which each boxcar passes?
  7. physics

    Consider the freight train in Figure below. Suppose 17 boxcars pass by in a time of 10.7 s and each has a length of 15.3 m. (a) What is the frequency at which each boxcar passes?
  8. Physics

    A train on a mountain railway is carrying 200 people of average mass 70kg up a slope at an angle of 30° to the horizontal and at a speed of 6.0 m s–1. The train itself has a mass of 80 000 kg. The percentage of the power from the …
  9. physics

    A 2.6 kg toy locomotive is pulling a 1.7 kg caboose. The frictional force of the track on the caboose is 0.52 N backward along the track. If the train is accelerating forward is 3.1 m/s2, what is the magnitude of the force exerted …
  10. Physics

    the engineer of a passenger train traveling at 100 ft/sec sights a freight train whose caboose is 600 ft ahead of the same track. The freight train is traveling in the same direction as the passenger train with a velocity of 30 ft/sec. …

More Similar Questions