Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 5"
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<math>2+3+4+4+4</math>, etc., which have repeated terms. You need not justify your answer on this question. | <math>2+3+4+4+4</math>, etc., which have repeated terms. You need not justify your answer on this question. | ||
| − | <math>\begin{ | + | <math>\begin{array}{|c|c|c|c|} |
\hline | \hline | ||
| − | EXAMPLE: & Distinct Integers: {2, 3, 4, 8} & Their Sum: 2+3+4+8=17 & Their Product: 2 \times 3\times 4\times 8=192 \\ | + | \text{EXAMPLE: }& \text{Distinct Integers: }{2, 3, 4, 8} & \text{Their Sum: }2+3+4+8=17 & \text{Their Product: }2 \times 3\times 4\times 8=192 \\ |
\hline | \hline | ||
| − | \end{ | + | \end{array}</math> |
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== Solution == | == Solution == | ||
| − | + | <math>\{2, 4, 5, 6\}.</math> The product is <math>240</math> | |
== See Also == | == See Also == | ||
Revision as of 03:28, 13 January 2019
Problem
If the sum of distinct positive integers is 
, find the largest possible value of their product. Give both a set of
positive integers and their product. Remember to consider only sums of distinct numbers, and not 
or
, etc., which have repeated terms. You need not justify your answer on this question.
Solution
The product is 
See Also
| 2013 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
