A new subdivision is being constructed, along a long road
with hundreds of houses. The houses are all numbered in
order starting with 1 – so they proceed 1, 2, 3, 4, … down
the long road.
All of the people go to the hardware store to buy numbers
for their mailbox, and they line up in order at the counter.
The store, unfortunately, has only 100 of each digit available.
Which
homeowner will be the first who cannot buy the complete
number for his mailbox?