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Seven dwarfs d1 d2 d3 d4 d5 d6 d7 each must be assigned to

Question: Seven dwarfs D₁, D₂, D₃, D₄, D₅, D₆, D₇ each must be assigned to one of seven jobs in a mine, J₁, J₂, J₃, J₄, J_5, J₆, J₇. D₁ cannot do jobs J₁ or J₃; D₂ cannot do J₁ or J₅; D₄ cannot do J₃ or J₆; D₅ cannot do J₂ or J₇; D₇ cannot do J₄. D₃ and D₆ can do all jobs. How many ways are there to assign the dwarfs to different jobs?

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Mathematics: Seven dwarfs d1 d2 d3 d4 d5 d6 d7 each must be assigned to

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