K
kenshin112
Guest
This was a combinatorics question in my textbook.
Water is poured into the top bucket of a triangular stack of 2-L bucket. When each bucket is full, the water overflows equally on both sides into the buckets immediately below. How much water will have been poured into the top bucket when at least one of the buckets in the bottom row (6th row) is full?
Note: There are 6 rows.
First row has 1 bucket, second has 2, third has 3, and so on.
It looks like an equilateral triangle of buckets kind of...
It uses pascal's triangle somehow...and the answer is 30.8
Water is poured into the top bucket of a triangular stack of 2-L bucket. When each bucket is full, the water overflows equally on both sides into the buckets immediately below. How much water will have been poured into the top bucket when at least one of the buckets in the bottom row (6th row) is full?
Note: There are 6 rows.
First row has 1 bucket, second has 2, third has 3, and so on.
It looks like an equilateral triangle of buckets kind of...
It uses pascal's triangle somehow...and the answer is 30.8