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A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small
number of healthy volunteers. For example, a phase I test of a specific drug involved only 7 subjects. Assume that we
want to treat 7 healthy humans with this new drug and we have 11 suitable volunteers available. Complete parts (a)
through (c) below.
a. If the subjects are selected and treated in sequence, so that the trial is discontinued if anyone displays adverse
effects, how many different sequential arrangements are possible if 7 people are selected from the 11 that are
available? Choose the correct answer below.
A. 1,663,200
B. 330
C. 5,040
O D. 39,916,800
b. If 7 subjects are selected from the 11 that are available, and the 7 selected subjects are all treated at the same
time, how many different treatment groups are possible?
There are different treatment groups possible.
c. If 7 subjects are randomly selected and treated at the same time, what is the probability of selecting the 7
youngest subjects?
P(selecting the 7 youngest subjects) =