Question 5
Ignacio has a sheet of paper. He may cut it into either 6 or 8 pieces, as he chooses. At each subsequent stage he may choose an existing piece and cut it into 6 or 8 pieces.
a) Decide whether Ignacio can have exactly 24 pieces of paper after some stage.
b) Decide whether Ignacio can have exactly 32 pieces of paper after some stage.
If not, explain why; if so, specify how to make the cuts.
a) Decide whether Ignacio can have exactly 24 pieces of paper after some stage.
b) Decide whether Ignacio can have exactly 32 pieces of paper after some stage.
If not, explain why; if so, specify how to make the cuts.