Difference between revisions of "2019 AMC 12B Problems/Problem 11"
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==Problem== | ==Problem== | ||
| + | How many unordered pairs of edges of a given cube determine a plane? | ||
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| + | <math>\textbf{(A) } 12 \qquad \textbf{(B) } 28 \qquad \textbf{(C) } 36\qquad \textbf{(D) } 42 \qquad \textbf{(E) } 66</math> | ||
==Solution== | ==Solution== | ||
Revision as of 12:50, 14 February 2019
Problem
How many unordered pairs of edges of a given cube determine a plane?
Solution
(12-4-1)*12/2 = 42 (D)
(SuperWill)
See Also
| 2019 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 10 |
Followed by Problem 12 |
| 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 | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
