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I have used $5$ colors for making a $12 \times 6 $ matrix.
What are the possible combinations? Is there a software to depict those combinations? Thanks

Widawensen
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user505375
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1 Answers1

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If you include results with less than five colors, this number is $5^{12*6}$, since you have five choices of color for each entry.

If you want each color to appear at least once, this is the number of surjective maps from a $12*6=72$ element set to a 5 element set. This number is $$5!{72 \brace 5},$$ where the curly braces refer to Stirling Numbers of the Second Kind.

Air Conditioner
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