# Thread:

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...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9331755638122559, "perplexity_flag": "middle"}