@ 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:
Ques3.jpg [ 6.31 KiB | Viewed 959 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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