SOLUTION: Unisng nonzero whole numbers there is just one combination of two numbers whose sum is 2 (2= 1+1), and one combiantion whose sum is 3 (3= 1+2). For the numbers 4 and 5 there are t

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Question 187778: Unisng nonzero whole numbers there is just one combination of two numbers whose sum is 2 (2= 1+1), and one combiantion whose sum is 3 (3= 1+2). For the numbers 4 and 5 there are two diferent ways of writing the sum using two numbers: 4= 1+3 = 2+2; and 5= 1+4 = 3+2. what is the number of different ways of writing 2145 as the sum of two nonzero whole numbers?
Thanks for your help.
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!

If you listed them all, the list would start off like this:

   1.    1+2144
   2.    2+2143
   3.    3+2142
   4.    4+2141
      .
      .
      .

and would end up like this:

1069. 1069+1076
1070. 1070+1075
1071. 1071+1074
1072. 1072+1073

So there are 1072 ways.

Edwin
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