Please Break It Down!
To get to the other side of the lake, one can drive around it on Lake Road, go over the bridge or ride the ferry. How many different ways can one go across the lake and back?
9
6
5

Question

Please Break It Down!
To get to the other side of the lake, one can drive around it on Lake Road, go over the bridge or ride the ferry. How many different ways can one go across the lake and back?
9
6
5

shubhamsrg · Answer

3 ways to go..lets denote them by A,B,C..
now after reaching at the other end,,again A,B,C are possible roots.
so final roots can be (A,A) OR (A,B) OR (A,C) OR (B,B) OR (B,C) OR (C,C)

just count it..hmmn.

anonymous · Answer

Not quite right.

shubhamsrg · Answer

ohh..please correct me..

shubhamsrg · Answer

ohh,,i see.. (B,A) and (C,A) ,,(C,B) will also be included..

shubhamsrg · Answer

really sorry..now ans should be 9 routes.

anonymous · Answer

Well, you counted (A, B), and then you didn't count (B,A), which is understandable, but by my understanding of the problem, you are meant to count that as a different way of traveling.
Yes, exactly =)

anonymous · Answer

Possibilities are:
AA
AB
AC
BA
BB
BC
CA
CB
CC

anonymous · Answer

If you think about it analytically, rather than trying to count, you will see that there are three ways to go, and for each of these three ways, there are three ways to come back.  Multiply to get nine ways overall.