Step-by-step explanation:
So this is basically like having 4 different color of balls in a bin with no more then 4 balls of the same color.
I think we need to solve this: x1+x2+x3+x4=12 where each xi≤4 using inclusion exclusion principle and stars and bars:
(153)−⋃i=14Ai where each Ai is a different color.
But now I'm not sure on how to continue.
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Answers & Comments
Step-by-step explanation:
So this is basically like having 4 different color of balls in a bin with no more then 4 balls of the same color.
I think we need to solve this: x1+x2+x3+x4=12 where each xi≤4 using inclusion exclusion principle and stars and bars:
(153)−⋃i=14Ai where each Ai is a different color.
But now I'm not sure on how to continue.