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Monday Madness

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You are in possession of a white piece of cloth that you would like to use for a banner. It is rectangular in shape with dimensions of 3 units wide and 4 units tall. Your banner will have 3 vertical stripes. Each stripe will be 1 unit wide by 4 units tall (each will be 1/3 of the banner). Now to design your masterpiece. You have Red, Blue, and Green paint available. You will not change the size of the stripes and you don't want adjoining stripes to be the same color (you want three distinctly colored fields). How many different choices of color pattern do you have to choose from?
red,blue,green red,blue,red red,green,blue red,green,red blue,red,green blue,red,blue blue,green,red blue,green,blue green,red,blue green,red,green green,blue,red green,blue,green so i make it 12. :popcorn:
It doesn't say that we could mix the paints available, so to add to terry's: Mix of blue and red: purple red blue purple red purple purple blue red purple blue purple purple blue green purple blue purple purple green blue purple green purple purple red green purple red purple purple green red purple green purple 12 + terry's = 24
AHHH idiot that i am, if you left one blank that would count as white, so need to add that.. red,blue,green red,blue,white red,blue,red red,green,blue red,green,white red,green,red red,white,blue red,white,green red,white,red so 9 multiplied by the four colours ,red,white,blue,green is answer 36 :popcorn:
white,blue,green
white,blue,red
white,blue,white

white,green,blue
white,green,red
white,green,white

white,red,blue
white,red,green
white,red,white

blue,red,green
blue,red,blue


blue,green,red
blue,green,blue


blue,white,green
blue,white,red
blue,white,blue

green,red,blue
green,red,green


green,blue,red
green,blue,green
green,blue,whiteomitted from count.
green,white,red
green,white,blue
green,white,green

red,blue,green
red,blue,red


red,green,blue
red,green,red


red,white,green
red,white,blue
red,white,red


Answer would be 36 if you left the duplicates in like 'white,blue,green' that appears again as 'green,blue,white' lower down the mix.

The answer is 30
white,blue,green
white,blue,red
white,green,blue
white,green,red
white,red,blue
white,red,green

blue,red,green
blue,green,red
blue,white,green
blue,white,red

green,red,blue
green,blue,red
green,white,red
green,white,blue

red,blue,green
red,green,blue
red,white,green
red,white,blue

—————–
white,blue,white
white,green,white
white,red,white

blue,red,blue
blue,green,blue
blue,white,blue

green,blue,green
green,red,green
green,white,green

red,blue,red
red,green,red
red,white,red
omitted from count if the following statement is true.

(you want three distinctly colored fields).
Of course if this means not to use the same color twice, than 18 is the answer. :pullhair: :rofl:

white,blue,green
white,blue,red
white,blue,white

white,green,blue
white,green,red
white,green,white

white,red,blue
white,red,green
white,red,white

blue,red,green
blue,red,blue


blue,green,red
blue,green,blue


blue,white,green
blue,white,red
blue,white,blue

green,red,blue
green,red,green


green,blue,red
green,blue,green
green,blue,whiteomitted from count.
green,white,red
green,white,blue
green,white,green

red,blue,green
red,blue,red


red,green,blue
red,green,red


red,white,green
red,white,blue
red,white,red


Answer would be 36 if you left the duplicates in like 'white,blue,green' that appears again as 'green,blue,white' lower down the mix.

The answer is 30

this should be 25 :thumbup:
with the following omitted
red,white,blue
blue,white,green
green,red,blue
red,white,green
red,green,blue


meaning if this (you want three distinctly colored fields) does mean as I mentioned above, than that number would be 13. :wacko:

Should I just start throwing random numbers at you now. ^_^
I got 24???? red blue green red blue white red green blue red green white red white blue red white green blue red green blue red white blue green red blue green white blue white red blue white green greeen red blue green red white green blue red green blue white green white blue green white red white blue green white blue red white green red white green blue white red blue white red green Oh hang on, just re read it. So are we just looking for 3 distinctly different colour combinations, or there can be the same colour in each combination, as long as they are not adjoining?? If so I would need to add red blue red red white red red green red blue red blue blue white blue blue green blue white green white white red white white blue white green white green green red green green blue green which would make 36??
ummm, no its not the same because its a different combination, red white red can only be used once cos its the same either way. Unless you turned the banner upside down. Then yes you would only use it once, but from my understanding of the question, the banner would only be facing and/or hung the one way?? :P I guess its all in how you interpret the original question :scratch:
red blue green
red blue white
red green blue
red green white
red white blue
red white green
blue red green
blue red white
blue green white
blue white green
green red white
green blue white
red blue red
red white red
red green red
blue red blue
blue white blue
blue green blue
white green white
white red white
white blue white
green white green
green red green
green blue green
——————–
omitted from count as they are simply the reverse of previous combinations.
green blue red
white blue red
blue green red
white green red
blue white red
green white red
green red blue
white red blue
white green blue
green white blue
white red green
white blue green


the answer must be 24