There are 50 coins in a line, and each coin has a positive integral value. All the integral values sum to an odd number. We play a game: I take a coin from either end of the line, and then you take a coin from either end of the remaining line, and we continue taking turns until all the coins are gone. Then whoever has a higher sum on their coins wins. Who has the winning strategy? (Note that there cannot be ties.)

There are 50 coins in a line, and each coin has a positive integral value. All the integral values sum to an odd number. We play a game: I take a coin from either end of the line, and then you take a coin from either end of the remaining line, and we continue taking turns until all the coins are gone. Then whoever has a higher sum on their coins wins. Who has the winning strategy? (Note that there cannot be ties.)

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.2: Remainder And Factor Theorems

Problem 53PS

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Question

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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