distributing 6 distinct objects into 2 sets of 4 boxes, no more than 2 identical objects per set

62 Views Asked by At

If anyone can help me with the formula and how to go about plotting a table of the combinations for the following, it will stop my brain from melting and I would be very grateful.

Each selection will consist of $8$ objects

The selection will be made from $6$ different colours $(A, B, C, D, E, F)$ (any $2$ colours will be duplicated)

I have $2$ boxes $(L, M)$, each with $4$ compartments $(1, 2, 3, 4)$ to receive $1$ object

The same colour may not be duplicated in the same box.