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(41/92)*(35/91)*(34/90)

(#red * (#red-1) * ... (#red-x1+1))
  * (#green * (#green-1) * ... (#green-x2+1) * ...

  / ( total * (total-1) * (total-2) * ... )

(x1+x2+x3+ ...)! / (x1! * x2! * x3! * ... )

use List::Util 'sum';

...
            [8,8,3,1,5,0,0] );

## output: 0.000397344651946416

(41/92)*(35/92)*(35/92)

(#red/total)^x1 * (#green/total)^x2 * ...

(x1+x2+x3+ ...)! / (x1! * x2! * x3! * ... )

use List::Util 'sum';

...
            [8,8,3,1,5,0,0] );

## output: 0.000397344401565931