Question 29
Wasteful Wayne takes one sheet of paper with “My Document” printed on it. He runs it through the photocopier to make two copies which he then stamps with his “COPY” stamp.
Wayne then takes the original and the two copies, runs all three through the photocopier to make two copies of each, stamps the six new copies with his “COPY” stamp, and adds them to the top of the pile.
He repeats this process by making two copies of each sheet of paper in his existing pile, stamping the new copies, then adding them to the pile. So the pile triples in size each time. After Wayne has done this eight times in total, the pile is 6561 sheets high. How many sheets have exactly 2 “COPY” stamps on them?
Wayne then takes the original and the two copies, runs all three through the photocopier to make two copies of each, stamps the six new copies with his “COPY” stamp, and adds them to the top of the pile.
He repeats this process by making two copies of each sheet of paper in his existing pile, stamping the new copies, then adding them to the pile. So the pile triples in size each time. After Wayne has done this eight times in total, the pile is 6561 sheets high. How many sheets have exactly 2 “COPY” stamps on them?