Is it possible to put plus and minus signs instead of asterisks in the equation 1 ∗ 2 ∗ 3 ∗ … ∗ 10 = 0 to obtain a true equality?
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Expert's answer
2010-06-16T09:46:14-0400
No. The parity of the number 1 ± 2 ± 3 ± ⋯ ± 10 doesn’t depend on the signs selection; it depends only on the amount of odd numbers in the expression. There are 5 odd numbers in the given expression, thus the result will always be an odd number.
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