Question 6: How many different paths in the xyz-space are there from (0,0,0) to (3,4,5) if a path proceeds one step at a time by going either one step to the positive on the r-axis, one step to the positive on the y-axis, or one step to the positive on the z-axis? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Question 6:
How many different paths in the xyz-space are there from (0,0,0) to (3, 4, 5) if a path proceeds one step at
a time by going either one step to the positive on the r-axis, one step to the positive on the y-axis, or one step
to the positive on the z-axis? Justify your answer.
Transcribed Image Text:Question 6: How many different paths in the xyz-space are there from (0,0,0) to (3, 4, 5) if a path proceeds one step at a time by going either one step to the positive on the r-axis, one step to the positive on the y-axis, or one step to the positive on the z-axis? Justify your answer.
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