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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))

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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