The design of a communication system considered the following questions: (a) How many three-digit phone prefixes that are used to rep- resent a particular geographic area (such as an area code) can be created from the digits 0 through 9? (b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the middle digit? (c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix?

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The design of a communication system considered
the following questions:
(a) How many three-digit phone prefixes that are used to rep-
resent a particular geographic area (such as an area code)
can be created from the digits 0 through 9?
(b) As in part (a), how many three-digit phone prefixes are
possible that do not start with 0 or 1, but contain 0 or 1 as
the middle digit?
(c) How many three-digit phone prefixes are possible in
which no digit appears more than once in each prefix?
A lot of 140 semiconductor chips is inspected by
choosing a sample of five chips. Assume 10 of the chips do not
conform to customer requirements.
(a) How many different samples are possible?
(b) How many samples of five contain exactly one noncon-
forming chip?
(c) How many samples of five contain at least one noncon-
forming chip?
Transcribed Image Text:The design of a communication system considered the following questions: (a) How many three-digit phone prefixes that are used to rep- resent a particular geographic area (such as an area code) can be created from the digits 0 through 9? (b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the middle digit? (c) How many three-digit phone prefixes are possible in which no digit appears more than once in each prefix? A lot of 140 semiconductor chips is inspected by choosing a sample of five chips. Assume 10 of the chips do not conform to customer requirements. (a) How many different samples are possible? (b) How many samples of five contain exactly one noncon- forming chip? (c) How many samples of five contain at least one noncon- forming chip?
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