Answered: This map of six square blocks shows the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 46E

See similar textbooks

Related questions

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.

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