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Any highway simulation games out there? | SkyscraperCity Forum

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Any highway simulation games out there? | SkyscraperCity Forum
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Use inclusion-exclusion. First, count all non-negative integer solutions to $ x_1 + x_2 + x_3 = 10 $, then subtract those where any $ x_i > 5 $.
Total solutions (without restriction):
There are 3 such sets $ A_1, A_2, A_3 $, so total subtract:

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