. Fifteen telephones have just been received at an authorized service center. Five of these
telephones are cellular, five are cordless, and the other five are corded phones. Suppose that
these components are randomly allocated the numbers 1, 2, . . ., 15 to establish the order in which
they will be serviced.
(a) What is the probability that all the cordless phones are among the first ten to be serviced?
(b) What is the probability that after servicing ten of these phones, phones of only two of the
three types remain to be serviced?
(c) What is the probability that two phones of each type are among the first six serviced?
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