If I want to arrange 3 blocks in a row. How many arrangements can I make?

Question

ocks in a row. How many arrangements can I make?

Answer 1

You have three blocks, and therefore you have three spaces to put each one in. When placing the first block, you have three options. After that one is placed, you have two options for placing the second block, and then finally, you are left with just one option. Therefore, the multiplication to solve this problem is as follows: 3 x 2 x 1 = 6 total arrangements. If you'd like a more "visual example", please see below:

 

Let's say we have three blocks: red, yellow, and blue.

 

The following combinations that result from putting the red one first are:

 

Red, yellow, blue

Red, blue, yellow

 

The following combinations that result from putting the yellow one first are:

Yellow, red, blue

Yellow, blue, red

 

The following combinations that result from putting the blue one first are:

Blue, red, yellow

Blue, yellow, red

 

I hope this helps!