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Shouldn't the number of paths from D to E be C(6,2) and from E to C be C(4,2)?

Shouldn't the number of paths from D to E be C(6,2) and from E to C be C(4,2)?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Shouldn't the number of paths from D to E be C(6,2) and from E to C be C(4,2)?

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Step 1: Overview

Given,

Consider the Cartesian (x-y) grid. If you can only move right and up, how many paths are there:

a.From A(0, 0) to B(6, 3)? b.

b. From A(0, 0) to C(9, 10) if you must pass through D(5, 4) and E(7, 8)? 


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