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100 men & women dance with each other. What is the probability that a man cannot dance with more than two women?

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TCS Other Question

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 Lady has 2 select gloves & hat from a basket is in the dark. She can distinguish hat 7 gloves, 14 red, 20 blue, 18 green are there. Find the probability that any selected glove pair has same color.