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In the figure, All the lines are representing the network of roads and

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In the figure, All the lines are representing the network of roads and  [#permalink]

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New post 12 Jul 2015, 00:33
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A
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D
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Difficulty:

  55% (hard)

Question Stats:

49% (01:26) correct 51% (02:05) wrong based on 86 sessions

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In the figure, All the lines are representing the network of roads and one can walk on these roads only to reach from one point to another in the grid.

In How many ways can a person reach from Point A to Point B using the shortest possible path? (only rightward or upward movements are allowed i.e. left and down movements are not allowed)

A) 8
B) 10
C) 12
D) 15
E) More than 15

"Kudos" for correct Solution

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In the figure, All the lines are representing the network of roads and  [#permalink]

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New post 12 Jul 2015, 03:16
1
GMATinsight wrote:
In the figure, All the lines are representing the network of roads and one can walk on these roads only to reach from one point to another in the grid.

In How many ways can a person reach from Point A to Point B using the shortest possible path? (only rightward or upward movements are allowed i.e. left and down movements are not allowed)

A) 8
B) 10
C) 12
D) 15
E) More than 15

"Kudos" for correct Solution



Let the desired path be APQRCSB (refer to attached image)

Let R and U represent Right and Up direction movements.

Thus, we get the following arrangement when we go from A to B: RRRRUU

This given arrangement can be arranged in : 6! / (4!*2!) = 15 ways. 6! to represent arrangement of 6 letters, 4! and 2! represent duplicated arrangements caused by 4 identical 'R's and 2 identical 'U's respectively.

Thus D is the correct answer.
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Re: In the figure, All the lines are representing the network of roads and  [#permalink]

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New post 12 Jul 2015, 03:59
2
GMATinsight wrote:
In the figure, All the lines are representing the network of roads and one can walk on these roads only to reach from one point to another in the grid.

In How many ways can a person reach from Point A to Point B using the shortest possible path? (only rightward or upward movements are allowed i.e. left and down movements are not allowed)

A) 8
B) 10
C) 12
D) 15
E) More than 15

"Kudos" for correct Solution


steps required for shortest path is 6,where there are total 2 upwards move and 4 right wards move..
so total ways =6!/2!4!=15
ans D
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Re: In the figure, All the lines are representing the network of roads and  [#permalink]

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New post 15 Jul 2017, 19:40
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In the figure, All the lines are representing the network of roads and   [#permalink] 15 Jul 2017, 19:40
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