If there are two sides to a shirt and up to four colors on each side of the shirt, how many combinations will there be and what the heck are they?
And I thought I would never use math. *sigh*
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I would run far far away from any math problems like this. Get out of the shirt making business.
The answer is …
Not enough information.
If there are exactly 8 color that can be on the shirts and order doesn’t matter, and there can be 0-8 colors on a shirt, it is like a binary number. Each color is either there or not. The number 11111111 base 2 is 2^9 – 1 or 511. If you have a blank shirt, the number would be 512.
So, if your colors are
red, green, blue, yellow, orange, purple, brown, black,
then here are your 512 combinations:
Blank
black
brown
brown black
purple
purple black
purple brown
purple brown black
orange
orange black
orange brown
orange brown black
orange purple
orange purple black
orange purple brown
orange purple brown black
yellow
yellow black
yellow brown
yellow brown black
yellow purple
yellow purple black
yellow purple brown
yellow purple brown black
yellow orange
yellow orange black
yellow orange brown
yellow orange brown black
yellow orange purple
yellow orange purple black
yellow orange purple brown
yellow orange purple brown black
blue
blue black
blue brown
blue brown black
blue purple
blue purple black
blue purple brown
blue purple brown black
blue orange
blue orange black
blue orange brown
blue orange brown black
blue orange purple
blue orange purple black
blue orange purple brown
blue orange purple brown black
blue yellow
blue yellow black
blue yellow brown
blue yellow brown black
blue yellow purple
blue yellow purple black
blue yellow purple brown
blue yellow purple brown black
blue yellow orange
blue yellow orange black
blue yellow orange brown
blue yellow orange brown black
blue yellow orange purple
blue yellow orange purple black
blue yellow orange purple brown
blue yellow orange purple brown black
green
green black
green brown
green brown black
green purple
green purple black
green purple brown
green purple brown black
green orange
green orange black
green orange brown
green orange brown black
green orange purple
green orange purple black
green orange purple brown
green orange purple brown black
green yellow
green yellow black
green yellow brown
green yellow brown black
green yellow purple
green yellow purple black
green yellow purple brown
green yellow purple brown black
green yellow orange
green yellow orange black
green yellow orange brown
green yellow orange brown black
green yellow orange purple
green yellow orange purple black
green yellow orange purple brown
green yellow orange purple brown black
green blue
green blue black
green blue brown
green blue brown black
green blue purple
green blue purple black
green blue purple brown
green blue purple brown black
green blue orange
green blue orange black
green blue orange brown
green blue orange brown black
green blue orange purple
green blue orange purple black
green blue orange purple brown
green blue orange purple brown black
green blue yellow
green blue yellow black
green blue yellow brown
green blue yellow brown black
green blue yellow purple
green blue yellow purple black
green blue yellow purple brown
green blue yellow purple brown black
green blue yellow orange
green blue yellow orange black
green blue yellow orange brown
green blue yellow orange brown black
green blue yellow orange purple
green blue yellow orange purple black
green blue yellow orange purple brown
green blue yellow orange purple brown black
red
red black
red brown
red brown black
red purple
red purple black
red purple brown
red purple brown black
red orange
red orange black
red orange brown
red orange brown black
red orange purple
red orange purple black
red orange purple brown
red orange purple brown black
red yellow
red yellow black
red yellow brown
red yellow brown black
red yellow purple
red yellow purple black
red yellow purple brown
red yellow purple brown black
red yellow orange
red yellow orange black
red yellow orange brown
red yellow orange brown black
red yellow orange purple
red yellow orange purple black
red yellow orange purple brown
red yellow orange purple brown black
red blue
red blue black
red blue brown
red blue brown black
red blue purple
red blue purple black
red blue purple brown
red blue purple brown black
red blue orange
red blue orange black
red blue orange brown
red blue orange brown black
red blue orange purple
red blue orange purple black
red blue orange purple brown
red blue orange purple brown black
red blue yellow
red blue yellow black
red blue yellow brown
red blue yellow brown black
red blue yellow purple
red blue yellow purple black
red blue yellow purple brown
red blue yellow purple brown black
red blue yellow orange
red blue yellow orange black
red blue yellow orange brown
red blue yellow orange brown black
red blue yellow orange purple
red blue yellow orange purple black
red blue yellow orange purple brown
red blue yellow orange purple brown black
red green
red green black
red green brown
red green brown black
red green purple
red green purple black
red green purple brown
red green purple brown black
red green orange
red green orange black
red green orange brown
red green orange brown black
red green orange purple
red green orange purple black
red green orange purple brown
red green orange purple brown black
red green yellow
red green yellow black
red green yellow brown
red green yellow brown black
red green yellow purple
red green yellow purple black
red green yellow purple brown
red green yellow purple brown black
red green yellow orange
red green yellow orange black
red green yellow orange brown
red green yellow orange brown black
red green yellow orange purple
red green yellow orange purple black
red green yellow orange purple brown
red green yellow orange purple brown black
red green blue
red green blue black
red green blue brown
red green blue brown black
red green blue purple
red green blue purple black
red green blue purple brown
red green blue purple brown black
red green blue orange
red green blue orange black
red green blue orange brown
red green blue orange brown black
red green blue orange purple
red green blue orange purple black
red green blue orange purple brown
red green blue orange purple brown black
red green blue yellow
red green blue yellow black
red green blue yellow brown
red green blue yellow brown black
red green blue yellow purple
red green blue yellow purple black
red green blue yellow purple brown
red green blue yellow purple brown black
red green blue yellow orange
red green blue yellow orange black
red green blue yellow orange brown
red green blue yellow orange brown black
red green blue yellow orange purple
red green blue yellow orange purple black
red green blue yellow orange purple brown
red green blue yellow orange purple brown black
red
red
red black
red black
red brown
red brown
red brown black
red brown black
red purple
red purple
red purple black
red purple black
red purple brown
red purple brown
red purple brown black
red purple brown black
red orange
red orange
red orange black
red orange black
red orange brown
red orange brown
red orange brown black
red orange brown black
red orange purple
red orange purple
red orange purple black
red orange purple black
red orange purple brown
red orange purple brown
red orange purple brown black
red orange purple brown black
red yellow
red yellow
red yellow black
red yellow black
red yellow brown
red yellow brown
red yellow brown black
red yellow brown black
red yellow purple
red yellow purple
red yellow purple black
red yellow purple black
red yellow purple brown
red yellow purple brown
red yellow purple brown black
red yellow purple brown black
red yellow orange
red yellow orange
red yellow orange black
red yellow orange black
red yellow orange brown
red yellow orange brown
red yellow orange brown black
red yellow orange brown black
red yellow orange purple
red yellow orange purple
red yellow orange purple black
red yellow orange purple black
red yellow orange purple brown
red yellow orange purple brown
red yellow orange purple brown black
red yellow orange purple brown black
red blue
red blue
red blue black
red blue black
red blue brown
red blue brown
red blue brown black
red blue brown black
red blue purple
red blue purple
red blue purple black
red blue purple black
red blue purple brown
red blue purple brown
red blue purple brown black
red blue purple brown black
red blue orange
red blue orange
red blue orange black
red blue orange black
red blue orange brown
red blue orange brown
red blue orange brown black
red blue orange brown black
red blue orange purple
red blue orange purple
red blue orange purple black
red blue orange purple black
red blue orange purple brown
red blue orange purple brown
red blue orange purple brown black
red blue orange purple brown black
red blue yellow
red blue yellow
red blue yellow black
red blue yellow black
red blue yellow brown
red blue yellow brown
red blue yellow brown black
red blue yellow brown black
red blue yellow purple
red blue yellow purple
red blue yellow purple black
red blue yellow purple black
red blue yellow purple brown
red blue yellow purple brown
red blue yellow purple brown black
red blue yellow purple brown black
red blue yellow orange
red blue yellow orange
red blue yellow orange black
red blue yellow orange black
red blue yellow orange brown
red blue yellow orange brown
red blue yellow orange brown black
red blue yellow orange brown black
red blue yellow orange purple
red blue yellow orange purple
red blue yellow orange purple black
red blue yellow orange purple black
red blue yellow orange purple brown
red blue yellow orange purple brown
red blue yellow orange purple brown black
red blue yellow orange purple brown black
red green
red green
red green black
red green black
red green brown
red green brown
red green brown black
red green brown black
red green purple
red green purple
red green purple black
red green purple black
red green purple brown
red green purple brown
red green purple brown black
red green purple brown black
red green orange
red green orange
red green orange black
red green orange black
red green orange brown
red green orange brown
red green orange brown black
red green orange brown black
red green orange purple
red green orange purple
red green orange purple black
red green orange purple black
red green orange purple brown
red green orange purple brown
red green orange purple brown black
red green orange purple brown black
red green yellow
red green yellow
red green yellow black
red green yellow black
red green yellow brown
red green yellow brown
red green yellow brown black
red green yellow brown black
red green yellow purple
red green yellow purple
red green yellow purple black
red green yellow purple black
red green yellow purple brown
red green yellow purple brown
red green yellow purple brown black
red green yellow purple brown black
red green yellow orange
red green yellow orange
red green yellow orange black
red green yellow orange black
red green yellow orange brown
red green yellow orange brown
red green yellow orange brown black
red green yellow orange brown black
red green yellow orange purple
red green yellow orange purple
red green yellow orange purple black
red green yellow orange purple black
red green yellow orange purple brown
red green yellow orange purple brown
red green yellow orange purple brown black
red green yellow orange purple brown black
red green blue
red green blue
red green blue black
red green blue black
red green blue brown
red green blue brown
red green blue brown black
red green blue brown black
red green blue purple
red green blue purple
red green blue purple black
red green blue purple black
red green blue purple brown
red green blue purple brown
red green blue purple brown black
red green blue purple brown black
red green blue orange
red green blue orange
red green blue orange black
red green blue orange black
red green blue orange brown
red green blue orange brown
red green blue orange brown black
red green blue orange brown black
red green blue orange purple
red green blue orange purple
red green blue orange purple black
red green blue orange purple black
red green blue orange purple brown
red green blue orange purple brown
red green blue orange purple brown black
red green blue orange purple brown black
red green blue yellow
red green blue yellow
red green blue yellow black
red green blue yellow black
red green blue yellow brown
red green blue yellow brown
red green blue yellow brown black
red green blue yellow brown black
red green blue yellow purple
red green blue yellow purple
red green blue yellow purple black
red green blue yellow purple black
red green blue yellow purple brown
red green blue yellow purple brown
red green blue yellow purple brown black
red green blue yellow purple brown black
red green blue yellow orange
red green blue yellow orange
red green blue yellow orange black
red green blue yellow orange black
red green blue yellow orange brown
red green blue yellow orange brown
red green blue yellow orange brown black
red green blue yellow orange brown black
red green blue yellow orange purple
red green blue yellow orange purple
red green blue yellow orange purple black
red green blue yellow orange purple black
red green blue yellow orange purple brown
red green blue yellow orange purple brown
red green blue yellow orange purple brown black
red green blue yellow orange purple brown black
Nathan – are you KIDDING me????
WOW,I am impressed!
Just to set everyone’s mind at ease, I did not stay up all night typing out all of those combinations. I just wrote a perl script to produce it. It took about 5 minutes. The script is below if anyone is curious. It is written in Perl.
open OUT, “>colorcombos.txt” || warn “can’t open file”;
for($i=1;$i<512;$i++){
$b=sprintf(“%08b”,$i);
if(substr($b, 0, 1) == “1″){
print OUT “red “;
}
if(substr($b, 1, 1) == “1″){
print OUT “green “;
}
if(substr($b, 2, 1) == “1″){
print OUT “blue “;
}
if(substr($b, 3, 1) == “1″){
print OUT “yellow “;
}
if(substr($b, 4, 1) == “1″){
print OUT “orange “;
}
if(substr($b, 5, 1) == “1″){
print OUT “purple “;
}
if(substr($b, 6, 1) == “1″){
print OUT “brown “;
}
if(substr($b, 7, 1) == “1″){
print OUT “black “;
}
print OUT “\n”;
}
I knew it!
y’all are cut from the same cloth. good grief!
btw, i’m working on a new site and you almost got unlinked, this post saved you!