Toys

3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy?

Correct result:

n =  519156

Solution:

n=312−3⋅(3−1)12+3=519156n = 3^{ 12} - 3\cdot (3-1)^{ 12} + 3 = 519156

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