Difference between revisions of "2004 AMC 12B Problems/Problem 2"
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Revision as of 18:51, 3 July 2013
- The following problem is from both the 2004 AMC 12B #2 and 2004 AMC 10B #5, so both problems redirect to this page.
Problem 2
In the expression 
, the values of 
, 
, 
, and 
are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum possible value of the result?
Solution
If 
or 
, the expression evaluates to 
.
If 
, the expression evaluates to 
.
Case 
remains.
In that case, we want to maximize 
where 
. Trying out the six possibilities we get that the best one is 
, where 
.
See Also
| 2004 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 1 |
Followed by Problem 3 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
| 2004 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
