There are 2,002 holes in a line. A ball is placed in the first hole. Two people move the ball from one hole to another alternatively. Every time a person can only move the ball forward 1, 2, or 3 holes. Whoever moves the ball to the last hole will win. If the first person moves the ball first, how do you make sure that the first person will win?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.8: Number Lines
Problem 55WE
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There are 2,002 holes in a line. A ball is placed in the first hole. Two people move the ball from one hole to another alternatively. Every time a person can only move the ball forward 1, 2, or 3 holes. Whoever moves the ball to the last hole will win. If the first person moves the ball first, how do you make sure that the first person will win?
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