2016 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1
Problem
Suppose there are 
lights arranged on tic-tac-toe board so that one is in each square. Suppose
further that there are six light switches one for each row and column. Flipping any of these
switches turns on all lights that are off and turns off all lights that are in the column/row
controlled by this switch. If there is exactly one light on, can you turn all the lights on using
the given switches? As in all problems you need to explain your answer.
Solution
See also
| 2016 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by First question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
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