#62 Particular patterns in piles
Set by Peter Rowlett
Arrange balls into a row of piles according to these rules:
1. The first and last piles contain one ball.
2. If two neighbouring piles aren’t the same size, the change in height is either an increase or decrease of one ball.
There are two valid ways to arrange four balls:
How many ways are there to arrange five balls?
How about six balls?
How many ways are there to arrange nine balls?
Solution next week
#61 Mark to mark
Solution
Adding a mark at 5 allows you to measure all…
