JusTLucK04 wrote:

JusTLucK04 wrote:

@ Bunuel I have to type it all over again coz u deleted my last post..

Here how does the ant have 3 choices after the second path..It again has 2 choices..

Also it misses all the complex paths that the ant visits not in 3 steps..say in 5 or 7 steps..(It is possible)

Either I misunderstood the Q and the E or the explanation is incorrect

I guess the way would be:

No of ways to do in-

3 steps: 3*2*1=6

5 steps: 3*2*1*1*1=6

7 steps: 3*2*1*1*1*1*1=6

No more steps are possible: total 18 ways

Experts please comment

Bumping for review...Karishma & Bunuel..please review the solution in view of the above approach I have posted

Here is the reason the number of paths is 3*2*3 and how it takes everything into consideration:

Attachment:

Ques3.jpg [ 6.31 KiB | Viewed 590 times ]
I think the first two steps are clear so the first step is taken in 3 ways and second step in 2 ways. Now, draw the cube and see that the ant would be at one of three points (the points where you reach after traversing 2 edges) - E, C, G

For each of these points, there are 3 unique ways in which the ant can reach the desired vertex.

1st way - Directly go to the desired point. If it is an E, this means EF

2nd way - Go via 3 edges e.g. if it came from AD- DE, it goes EH-HG-GF

3rd way - Go via 5 edges e.g. if it came from AD- DE, it goes EH-HG-GB-BC-CF

Since it is a cube, we know that what works for one edge, will work for other two as well.

So you multiply 3*2 by 3 to get 18.

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Karishma

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