MIE 2016/Day 1/Problem 10: Difference between revisions
Created page with "===Problem 10=== A hexagon is divided into 6 equilateral triangles. How many ways can we put the numbers from 1 to 6 in each triangle, without repetition, such that the sum of..." |
|||
| Line 19: | Line 19: | ||
==See Also== | ==See Also== | ||
{{Mie 2016 Day 1 box|year=2016|num-b=9|num-a=11}} | |||
{{MAA Notice}} | |||
Revision as of 21:13, 10 January 2018
Problem 10
A hexagon is divided into 6 equilateral triangles. How many ways can we put the numbers from 1 to 6 in each triangle, without repetition, such that the sum of the numbers of three adjacent triangles is always a multiple of 3? Solutions obtained by rotation or reflection are differents, thus the following figures represent two distinct solutions.
(a) 
(b) 
(c) 
(d) 
(e) 
Solution
See Also
These problems are copyrighted © by the Mathematical Association of America. 
