combinatorics

A square is filled with 100 small lamps, arranged in 10 rows and 10 columns. Some of them are on, the others are off. Each lamp has a push-button that, when pressed, switches all the lamps in its row and column (including the lamp itself).

(a) Determine the configurations from which it is possible to light all the 100 lamps.

(b) What is the answer to (a) if the square has 81 lamps arranged in 9 rows and 9 columns?

1 Answers

3
msp ·

is the ans for the first part is 100x99x98x97.....x90

Your Answer

Close [X]