Answered: This map of six square blocks shows the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

This map of six square blocks shows the location of Mae’s house (M), her grandfather’s house (G) and the library (L). How many different routes can Mae take to walk from her house to the library to get a book and then to her grandfather’s house for lunch, assuming she does not walk more than a total of 7 blocks?

Expert Solution

Step 1 Total Number of ways from M to L.

$B a s i c i n f o r m a t i o n a b o u t M a e' s m o v e s : M a e w i l l m o v e o n l y i n u p w a r d o r r i g h t w a r d d i r e c t i o n t o g o f r o m M t o L . T h i s w i l l t a k e m i n i m u m 4 s t e p s . M a e w i l l m o v e o n l y i n d o w n w a r d o r r i g h t w a r d d i r e c t i o n t o g o f r o m L t o G . T h i s w i l l t a k e m i n i m u m 3 s t e p s . F o r a n y o t h e r p a t h c h o o s e n, M a e h a s t o c r o s s m o r e t h a n 7 b o l c k s .$