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Maze Problem?

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rajatvmittal Really wants to Beat The GMAT! Default Avatar
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Maze Problem? Post Mon Mar 12, 2012 8:27 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    a) If you are required to walk from intersection A
    to intersection B along a route that is confined
    to the square grid of four avenues and three
    streets shown in the map above, how many
    routes from A to B can you take that have the
    minimum possible length ?

    What if 4 avenues and 4 streets.

    What if 5 avenues and 3 streets

    What if 4 avenues and 5 streets?

    Just want to know method to calculate???

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    Neo Anderson Rising GMAT Star Default Avatar
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    Post Mon Mar 12, 2012 10:07 am
    Quote:
    If you are required to walk from intersection A
    to intersection B along a route that is confined
    to the square grid of four avenues and three
    streets shown in the map above, how many
    routes from A to B can you take that have the
    minimum possible length ?
    number of avenues and streets are given, you only have to arrange them in different order, when you know total number of avenues and streets to reach the destination is also unique.
    as in: say avenues (A) are 4 and streets(3) are 3
    just have to arrange AAAASSS in various ways, thus 7!/(4!x3!) = 35 ways

    rajatvmittal Really wants to Beat The GMAT! Default Avatar
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    Post Mon Mar 12, 2012 10:12 am
    What if 4 avenues and 4 streets. : - Is it 8!/4!*4!

    What if 5 avenues and 3 streets : - is it 8!/5!*3!

    What if 4 avenues and 5 streets? : - is it 9!/5!*4!
    Am i Right?

    Neo Anderson Rising GMAT Star Default Avatar
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    Post Mon Mar 12, 2012 10:13 am
    absolutely right!

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