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# Each of the short segments in the figure above is of length 1 centimet

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Math Expert
Joined: 02 Sep 2009
Posts: 49430
Each of the short segments in the figure above is of length 1 centimet  [#permalink]

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04 Oct 2017, 00:40
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:28) correct 29% (01:24) wrong based on 35 sessions

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Each of the short segments in the figure above is of length 1 centimeter. Travelling only on these segments, how many routes are there from A to B that are exactly 3 centimeters long?

(A) 2
(B) 4
(C) 6
(D) 8
(E) 9

Attachment:

2017-10-04_1123.png [ 6.45 KiB | Viewed 509 times ]

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Joined: 14 Sep 2017
Posts: 1
Re: Each of the short segments in the figure above is of length 1 centimet  [#permalink]

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04 Oct 2017, 07:40
Starting from A, I can either go up, straight or down, but I won't be at B
Being at the top or at the bottom, there are two possibilities, on the outer ring or back to the middle --> 4
Being in the middle, only up or down is possible (otherwise I would end up at B within 2) --> 2
So I have to add the 4 and 2 --> 6 --> C
Re: Each of the short segments in the figure above is of length 1 centimet &nbs [#permalink] 04 Oct 2017, 07:40
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# Each of the short segments in the figure above is of length 1 centimet

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