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apply the pigeonhole principle to answer the following questions. if the pigeonhole principle can not be applied, give a specific counterexample. (b) seven members of the track team run the mile. their mile times are all faster than 7 minutes but not faster than 6 minutes. can you conclude that there are two runners whose times are less than nine seconds apart? what if there are eight runners? times are measured to a precision of 0.01 second.

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