In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at least one ball, but three at most. Whoever takes the last ball will lose. Is there any way to make sure that a person will win?
In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at least one ball, but three at most. Whoever takes the last ball will lose. Is there any way to make sure that a person will win?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.4: Distributive Property
Problem 11PPS
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4. In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at least one ball, but three at most. Whoever takes the last ball will lose. Is there any way to make sure that a person will win?
5. 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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