There are 7 different roads between town A and town B, 4 different roads between town B and town C, and 2 different roads between town A and town C. a) How many different routes are there from A to C? b) How many different routes are there from A to C and back (any road can can be used in each direction)? c) How many different routes are there from A to C and back (in part b) that visit B at least once?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Section4.2: The Parallelogram And Kite
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There are 7 different roads between town A and town B, 4 different roads between town B and town C, and 2 different roads between town A and town C.

a) How many different routes are there from A to C?

b) How many different routes are there from A to C and back (any road can can be used in each direction)?

c) How many different routes are there from A to C and back (in part b) that visit B at least once?

d) how many different routes are there from A to C and back (jn part b) that do not use any roads twice?

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