#76 Tromino trials
Set by Colin Beveridge
There are four ways to tile a 5 × 3 rectangle with five 3 × 1 “trominoes”, as shown above.
If you have a 7 × 3 rectangle to tile with seven 3 × 1 trominoes, how many ways can the rectangle be tiled if exactly three are placed horizontally?
Other than three, what are the possible numbers of horizontal tiles in this rectangle?
In total, how many ways are there to tile the rectangle?
How many ways can you tile a 10 × 3 rectangle with trominoes?
Solution next week
#75 Letters and numbers
Solution
If TWO…
