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Another, more adventurous flea lives on Z2 (the set of points in the plane with integer coordinates). Initially, the flea is at the origin, i.e., at the point (0,0). In one step, the flea can jump to an adjacent point to the right, to the left, up, or down. In how many ways can this flea perform 100 jumps and end up back at the origin?

Another, more adventurous flea lives on Z2 (the set of points in the plane with integer coordinates). Initially, the flea is at the origin, i.e., at the point (0,0). In one step, the flea can jump to an adjacent point to the right, to the left, up, or down. In how many ways can this flea perform 100 jumps and end up back at the origin?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Another, more adventurous flea lives on Z2 (the set of points in the plane with integer coordinates). Initially, the flea is at the origin, i.e., at the point (0,0). In one step, the flea can jump to an adjacent point to the right, to the left, up, or down. In how many ways can this flea perform 100 jumps and end up back at the origin?
Transcribed Image Text:Another, more adventurous flea lives on Z2 (the set of points in the plane with integer coordinates). Initially, the flea is at the origin, i.e., at the point (0,0). In one step, the flea can jump to an adjacent point to the right, to the left, up, or down. In how many ways can this flea perform 100 jumps and end up back at the origin?
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This answer is incorrect. The correct answer is (100/50!)^2.

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