A mouse that lives in a hotel wants to travel from the ground floor entrance at location (0,0,0) to its nest on the 10th floor at location (12,9, 10). Each move the mouse makes is either one room north, one room east, or one floor up. For example, from (0,0,0) the mouse moves either to (1,0,0) or (0, 1,0) or (0,0, 1), respectively. How many ways are there for the mouse to travel?
A mouse that lives in a hotel wants to travel from the ground floor entrance at location (0,0,0) to its nest on the 10th floor at location (12,9, 10). Each move the mouse makes is either one room north, one room east, or one floor up. For example, from (0,0,0) the mouse moves either to (1,0,0) or (0, 1,0) or (0,0, 1), respectively. How many ways are there for the mouse to travel?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:A mouse that lives in a hotel wants to travel from the ground floor entrance at location
(0,0,0) to its nest on the 10th floor at location (12,9, 10). Each move the mouse
makes is either one room north, one room east, or one floor up. For example, from
(0,0,0) the mouse moves either to (1,0,0) or (0, 1,0) or (0,0, 1), respectively. How
many ways are there for the mouse to travel?
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