Data managment math

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 ?

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    In the 1950s, an experimental train that had a mass of 3.30 104 kg was powered across level track by a jet engine that produced a thrust of 4.90 105 N for a distance of 600 m. (a) Find the work done on the train. 1 J (b) Find the

  2. physics

    The engine of a locomotive exerts a constant force of 6.5 105 N to accelerate a train to 90 km/h. Determine the time taken for the train of mass 1.8 107 kg to reach this speed from rest.

  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

    1)A toy train is initially at rest on a track fastened to a bicycle wheel, which is free to rotate. How does the wheel respond when the train moves clockwise? When the train backs up? Does the angular momentum of the wheel-train

  1. Physics

    Two identical boxcars (m = 14866 kg) are traveling along the same track but in opposite directions. Both boxcars have a speed of 5 m/s. If the cars collide and couple together, what will be the final speed of the pair?

  2. Physics

    An engine is used to pull a train of two cars out of a mine. The floor slopes upward at an angle of 24o. Each car has a mass of 0.8x104 Kg and normally travels without friction on the tracks. The engine can exert a maximum force

  3. Physics

    Two coupled boxcars are rolling along at 4.0 when they collide with and couple to a third, stationary boxcar. 1.) What is the final speed of the three coupled boxcars? 2.) What fraction of the cars' initial kinetic energy is

  4. 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

  1. English 10

    This poem describes a train as if it were a horse. Examine the imagery of the stanza in bold. What does it describe? A) The rumbling a train makes as it passes by B) The smell of train tracks after a train has gone C) The sound a

  2. 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? (b) What is the speed of the train?

  3. physics

    When the crampton coal-fired train engine was built in 1852 , its mass was 48.3t ( 1.0 t= 1.0*10^3) and its force capability was rated at 22.4 kN. Assuming it was pulling train cars whose total mass doubled its own was and the

  4. 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?

You can view more similar questions or ask a new question.