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Counting Jack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip,...

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Basic Math

Counting

Jack has a collection of 10 pairs of gloves in his wardrobe.Before a business trip, he has to pack his luggage, and he selects8 gloves, without looking at them. We assume that any set of 8gloves is equally likely to be chosen. Find the probability thatthese 8 gloves do not include any matching pair of gloves, that is,that there are no two (left and right) gloves, coming from the samepair.

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