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There are 3 roads from Pittsburgh to Ocean City, Md and

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Eternal Intern
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There are 3 roads from Pittsburgh to Ocean City, Md and [#permalink] New post 29 Jul 2003, 17:44
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There are 3 roads from Pittsburgh to Ocean City, Md and four roads from Ocean city, Md. to Bay City,CA. If Allison drives from Pittsburgh to Bay City, CA and back, passes from Ocean City in both directions, and does not travel any road twice, how many different routes for the trip are possible?

Hint: I thought 48, it is not :lol:
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 [#permalink] New post 29 Jul 2003, 19:29
:wink:

Let's subtract a 100 points from CEO's score and give it to me who needs the curve? :wink: :lol:
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 [#permalink] New post 29 Jul 2003, 19:35
Expert's post
Curly05 wrote:
:wink:

Let's subtract a 100 points from CEO's score and give it to me who needs the curve? :wink: :lol:



Why do you need a curve if you are so smart? :lol:

So, is it 72?
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Son [#permalink] New post 29 Jul 2003, 20:22
Yes, CEO, tell us the story :beer over a few beers!

72, is right, but you ran out of time :lol:
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 [#permalink] New post 29 Jul 2003, 20:48
from P to B = 3*4=12
from B to P = (4-1)*(3-1)=6

12*6=72
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 [#permalink] New post 30 Jul 2003, 05:22
Multiplication Principle!

Masked in disguise, am i right?
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 [#permalink] New post 22 Jan 2004, 19:49
A different approach.

3 roads between A-B and 4 roads between B-C
A <---------> B <-------------> C

One road from between A-B can be chosen in 3C1 ways
One road between B-C can be chosen in 4C1 ways
Since these two roads cannot be taken during return journey
One road between C-B can be chosen in 3C1 ways
One road between B-A can be chosen in 2C1 ways
So we have total ways = 3C1 * 4C1 * 3C1 * 2C1 = 3*4*3*2 = 72
  [#permalink] 22 Jan 2004, 19:49
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There are 3 roads from Pittsburgh to Ocean City, Md and

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