The numbers 1 through 20 are written in a row. Two players take turns putting plus signs and minus signs between the numbers. When all such signs have been placed, the .resulting expression is evaluated (Le., the additions and subtractions are performed). The first· player wins if the sum is even, and the second wins if the sum is odd. Who will win and how?

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19-06-2024
Mathematics

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The numbers 1 through 20 are written in a row. Two players take turns putting plus signs and minus signs between the numbers. When all such signs have been placed, the .resulting expression is evaluated (Le., the additions and subtractions are performed). The first· player wins if the sum is even, and the second wins if the sum is odd. Who will win and how?

Sagot :

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