Asked by Michael

How many different integers can be expressed as the sum of three different numbers in the set (1,2,3,4,5,6,7)?

Can anyone explain this one to me???
Thank you!

Answers

Answered by MathMate
The smallest integer that can be represented is 1+2+3=6
The largest integer that can be represented is 5+6+7=18
Every integer in between can be represented from the two above by replacement of one or more numbers.
The total number of different integers that can be represented is therefore:???
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