What is the smallest number of ducks that could swim in this formation. Two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?
What is the smallest number of ducks that could swim in this formation. Two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?
Explanation
Let's analyze the formation requirements:
1. Two ducks in front of a duck
2. Two ducks behind a duck
3. A duck between two ducks
The smallest number that satisfies all these conditions is *3* ducks in a line:
Duck 1 (front), Duck 2 (middle), Duck 3 (back)
For Duck 2: Duck 1 and Duck 3 satisfy the "two ducks" condition in relation to their positions.
Duck 1 has two ducks (2 and 3) behind it.
Duck 3 has two ducks (1 and 2) in front of it.
Duck 2 is between Duck 1 and Duck 3.