Ways

There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you travel:
A) from village A to village C via village B?
B) from village A to village C by any route?
C) from village A to village C by any route and then directly to village B?
D) from village A to village C by any route and back to village A by a different route?

Final Answer:

A =  10
B =  11
C =  22
D =  11

Step-by-step explanation:

$A=5\cdot 2=10$

$B=1+A=1+10=11$

$C=B\cdot 2=11\cdot 2=22$

$D=B=11$

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