Difference between revisions of "1993 AHSME Problems/Problem 28"
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| − | How many triangles | + | == Problem == |
| + | How many triangles with positive area are there whose vertices are points in the <math>xy</math>-plane whose coordinates are integers <math>(x,y)</math> satisfying <math>1\le x\le 4</math> and <math>1\le y\le 4</math>? | ||
| + | |||
| + | <math>\text{(A) } 496\quad | ||
| + | \text{(B) } 500\quad | ||
| + | \text{(C) } 512\quad | ||
| + | \text{(D) } 516\quad | ||
| + | \text{(E) } 560</math> | ||
| + | |||
| + | == Solution == | ||
| + | <math>\fbox{D}</math> | ||
| + | |||
| + | == See also == | ||
| + | {{AHSME box|year=1993|num-b=27|num-a=29}} | ||
| + | |||
| + | [[Category: Intermediate Combinatorics Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 01:02, 26 September 2014
Problem
How many triangles with positive area are there whose vertices are points in the 
-plane whose coordinates are integers 
satisfying 
and 
?
Solution
See also
| 1993 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 27 |
Followed by Problem 29 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
