Jerrys train has 4cars of different colors yellow green red and blue. How many different ways can Jerry arrange his train cars

Answer 1

You can use the method above for figuring out this answer. However, if you need a more visual solution, you can use the method outlined below.

For this problem, let's use the numbers 1, 2, 3, and 4 to represent each car. First, find all the combinations that start with car 1.

1234

1243

1324

1342

1432

1423

Now, do the same thing starting with car 2

2134

2143

2314

2341

2431

2413

Then start with car 3

3124

3142

3214

3241

3412

3421

Finally, start with car 4

4123

4132

4231

4213

4321

4312

Count up your different combinations.

Answer 2

Jerry starts with 4 choices for the first color. No matter which he picks, number 2 can only be one of the remaining three. Number 3 has only 2 choices after 2 colors are being used, and he only has the last remaining color as his last choice.

4 x 3 x 2 x 1 = your answer