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Suppose that you are on the bottom left corner (green) of a 9 x 12 grid of city blocks. (a) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid the red dot (located at position (6,4))? How many different ways can you get from the bottom left corner (green position (0,0)) (b) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the red X's (located at positions (6,4) and (3,10))? How many different ways can you get from the bottom left corner (green position (0,0)) (c) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the purple X's (located at positions (3,4) and (5,8))? How many different ways can you get from the bottom left corner (green position (0,0))

Suppose that you are on the bottom left corner (green) of a 9 x 12 grid of city blocks. (a) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid the red dot (located at position (6,4))? How many different ways can you get from the bottom left corner (green position (0,0)) (b) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the red X's (located at positions (6,4) and (3,10))? How many different ways can you get from the bottom left corner (green position (0,0)) (c) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the purple X's (located at positions (3,4) and (5,8))? How many different ways can you get from the bottom left corner (green position (0,0))

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Suppose that you are on the bottom left corner (green) of a 9 x 12 grid of city blocks. (a) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid the red dot (located at position (6,4))? How many different ways can you get from the bottom left corner (green position (0,0)) (b) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the red X's (located at positions (6,4) and (3,10))? How many different ways can you get from the bottom left corner (green position (0,0)) (c) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the purple X's (located at positions (3,4) and (5,8))? How many different ways can you get from the bottom left corner (green position (0,0))
Transcribed Image Text:Suppose that you are on the bottom left corner (green) of a 9 x 12 grid of city blocks. (a) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid the red dot (located at position (6,4))? How many different ways can you get from the bottom left corner (green position (0,0)) (b) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the red X's (located at positions (6,4) and (3,10))? How many different ways can you get from the bottom left corner (green position (0,0)) (c) to the top right corner (blue position (9,14)) by using only North and East moves such that you avoid both of the purple X's (located at positions (3,4) and (5,8))? How many different ways can you get from the bottom left corner (green position (0,0))
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