# Thread: different arrangments number of ways

1. ## different arrangments number of ways

Eight different colored blocks are in a box.
How many different color arrangements taking
eight blocks at a time can be made on a table.
(Note: Order makes a different arrangement.)

2. ## different arrangments..Help pleeez ?

If I understand this correctly, there are eight blocks, and all of them will be used each time - it's just a question of what order they get used in.

So there are 8 blocks you could pull the first time out.
There are 7 blocks left that you could pull the second time out.
Then, there are 6 blocks left that you could pull the third time out.
There are 5 blocks left that you could pull the fourth time out.

Etc.

The idea is that the number of combinations should be 8*7*6*5*4*3*2*1 = 40,320, based on the above.

- Steve J

3. There are 8 different blocks and so the number of arrangements of 8 blocks possible is $8!$

4. ya'll are the best...