math challenge question integers inclusive 1-10?

The integers from 1 to 10, inclusive, are listed in a row of order. In each of the nine spaces between adjacent pairs of numbers, a plus sign or a minus sign is inserted. Find the number of assignments of plus and minus signs that will yield an expression whose value is 0.

Why is the answer 0 explain and show steps to how and why is it impossible

and what does it mean by how much assingments

1 Answer

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  • 10 years ago
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    Since there are 5 odd numbers from 1 to 10 inclusive, any sum/difference of these 10 integers will give you an odd number. So you can never get 0.

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