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Question: The soil samples were stored in individual petri dishes and the measurements were taken in the lab over four days.
A. On Monday, a lab assistant was asked to prepare the samples for measurement for each of the remaining days of the week (Tuesday to Friday). They were told that 20 samples must be chosen for measurement on Tuesday and 5 fewer samples each next day until Friday. How many ways are there to select the samples for the 4 days of measurement? Show your work. Hint: Think of the days of the week as groups!
B . If the samples were grouped according to the above, what is the probability that the specific samples that gave the minimum and maximum values for both variables were all measured on Friday? Show your work and explain your reasoning behind it.
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