. An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield
from a 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 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?