Tuesday, December 20, 2011

How many different paths can a bug travel from Point A to Point B?

How many different paths can a bug travel from Point A to Point B along a network traveling ONLY South or East?


(Point A is at the top left of rectangle with 3 columns across and 2 rows down, Point B is at the bottom right of the rectanvle) I need an answer and how you got the answer (formula). Thanks.|||Infinite





The bug can go 7/8th of a row down - across - and down - and across.


The bug can go 6/8th of a row down - across - and down - and across.


The bug can go 5/8th of row down - across - and down - and across.





etc. etc. etc.





the bug can go 1/16th of a row down etc. etc. etc.


the bug can go 1/32nd of a row down etc. etc. etc.


the bug can go 1/64th of a row down etc. etc. etc.


the bug can go 1/128th of a row down etc. etc. etc.


the bug can go 1/256th of a row down etc. etc. etc.


the bug can go 1/512th of a row down etc. etc. etc.


the bug can go 1/1024th of a row down etc. etc. etc.


the bug can go 1/2048th of a row down etc. etc. etc.


the bug can go 1/4096th of a row down etc. etc. etc.





etc. etc. etc.


etc. etc. etc.





Infinitelyy closer to point A and also infinitely distant from point A without ever reaching B





And we haven't even began speaking of the infinfinitestances ACROSS.





But looking at it this from another perspective.. a circle is merely an infinite number of triangles ranging from the extremely acute to the extremely (or infinitely) obtuse.





Infinite.

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