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20 men and 20 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa

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A boy want to make a cuboid of dimension 5m,6m,7m from small cubes of .03 m3.later he realized ,he can make same cuboid by making it hollow. Then it take some cubes less. What is the no of these cube. 100 men & women dance with each other. What is the probability that a man cannot dance with more than two women?