Question: There are four different roads between town A and town B, three different roads between town B and town C , and two different roads
There are four different roads between town A and town B, three different roads between town B and town C , and two different roads between town A and town C.
(a) How many different routes are there from A to C altogether?
(b) How many different routes are there from A to C and back(any road can be used once 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 in part(b) that do not use any road twice?
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