An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a
certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts
are under consideration.
a) If any particular experimental run involves the use of a single temperature, pressure, and
catalyst, how many experimental runs are possible?
b) How many experimental runs are there that involve use of the lowest temperature and two
lowest pressures?
c) Suppose that five different experimental runs are to be made on the first day of
experimentation. If the five are randomly selected from among all the possibilities, so that any
group of five has the same probability of selection, what is the probability that a different
catalyst is used on each run?