Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A more structured way of looking at it: A-B: 1 U(up) and 1 R(right), number of ways = 2 !/(1!*1!) = 2 B-C: 1 U and 2 R, number of ways= (1+2)!/(1!*2!)=3!/2! = 3 C-D: 2 U and 2 R, " = (2+2)!/(2!*2!) = 6 Total number of ways: 2*3*6 = 36

In such problems break the question into the number of U / D / L / R 's(up/down/left/right) In almost all such problems it is given that the flow / movement is unidirectional (you cant move up in one step and down in the next).

For each such scenario determine the number of ways: (U + R)! / (U! * R!) :U, R for this example We divide by U!(or R!) - since each U(or R) is identical.

On a similar note - find the number of different words you can formulate from DADDY = 5! / (3!)

How many ways are there to go from A to D, passing through both B and C? You can only go north or east? (See the attached)

I can't even solve this simple work.. please anybody kind for the explanation....

First of all, the question is definitely not 'this simple'. Though once you know how to deal with such questions, it becomes quite easy.

I do agree with vicksikand. Its easy to solve it his way. Let me elaborate on the theory behind it.

When I want to go from A to B, I have to take 1 step north and 1 step east. I can do this in two ways: First north, then east or first east, then north. I can say that I have two steps N and E and I have to arrange them. I can do it in 2 ways (NE) or (EN).

When I want to go from B to C, I have to take 1 step north and 2 steps east. I can do it in three ways: First north, then east, then east (NEE) or First east, then north, then east (ENE) or first east, then east, then north (EEN). I can say I have 3 steps NEE and I have to arrange these in different ways. It can be done in 3!/2! ways = 3 ways (We divide by 2! because we have 2 E's. For more details check permutations theory)

When I want to go from C to D, we need to take two steps north and two east. That is, we have to arrange NNEE is different ways. This can be done in 4!/2!*2! = 6 ways (NNEE) or (NENE) or (NEEN) or (EENN) or (ENEN) or (ENNE) We divide by two 2! because N is twice and E is twice.

Total number of ways of going from A to D = 2*3*6 = 36
_________________

Re: How many ways are there to go from A to D, passing through [#permalink]

Show Tags

20 Jan 2014, 11:20

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: How many ways are there to go from A to D, passing through [#permalink]

Show Tags

10 May 2015, 20:05

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: How many ways are there to go from A to D, passing through [#permalink]

Show Tags

05 Jun 2016, 07:08

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: How many ways are there to go from A to D, passing through [#permalink]

Show Tags

05 Sep 2017, 09:25

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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________