Lovers Meet - Part 5

Anna and Ben live at opposite corners of a 3 by 2 block.
If Anna only moves right or up or down, and isn't allowed to retrace her steps, how many ways does she have to get to Ben?

2 1 4 3

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1 solution

Noor MAlik
Jul 5, 2015

In the beginning Anna can move right or down.
If she moves right, she can only go twice down to reach Ben. = WAY 1
If she moves down, she can go right -> down = WAY 2 or down-> right = WAY 3 So, total number of ways is 3 \boxed{3}

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