How many paths are there from the point (0, 0) to the point (4, 5) in the plane such that each step either consists of going one unit up or one unit to the right? How many paths are there from (0, 0) to (10, 11), where each step consists of going one unit up or one unit to the right, and the path has to go through the point (4, 5)?

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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How many paths are there from the point (0, 0) to the point (4, 5) in the plane such that each step either consists of going one unit up or one unit to the right? How many paths are there from (0, 0) to (10, 11), where each step consists of going one unit up or one unit to the right, and the path has to go through the
point (4, 5)?

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