Skip to content / Đến nội dung
ThichHocToan.com

IMSO 2018 — Math Division — Exploration Question 4

IMSO Maths · IMSO 2018 — Math Division — Exploration

Question 4

In a $4\times4$ table, we put a coin on each cell. The coins on some cells are tails up (T), while all the other coins are heads up (H). In each move, you are allowed to change all entries in any row, column or diagonal. Diagonals may be of length 1, 2, 3 or 4. Make the entries in the tables below all H using the required number of moves. Show your steps.

(a) in 4 moves (1 Mark)
(b) in 6 moves (2 Marks)
(c) in 6 moves (3 Marks)

Question illustration