A closet contains four pairs of shoes. If four shoes are chosen at random, what is the probability that the chosen shoes do not contain a pair?
What will be an ideal response?
The total number of combinations of four shoes that can be selected from eight is = 70. The four shoes will contain no pair if exactly one shoe is selected from each pair. Since each pair contains two shoes, the number of ways to select exactly one shoe from each pair is
= 16. Therefore the probability that the four shoes contain no pair is 16/70, or 8/35.
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____________________ is the subgroup under genus
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