Ficha - We have 10 numbered chips placed in a straight line as shown in the figure.

$$
\text { (1) (2)(3) (4) (6) (7) (9) (10) }
$$

We want to arrange them into 5 piles with 2 chips each. The rule for this is that we can only move a chip by making it jump over one or more chips, or over a pile. See an example of 3 moves:

- the chip 5 can jump over the chips 6 and 7 and form a pile with the 8.
- the chip 7 can jump over the chip 8 and form a pile with the 9.
- the chip 6 can jump over the chips 5, 4, and 3 to form a pile with the 2.

![](https://cdn.mathpix.com/cropped/2024_05_01_57c941f175baaa08a723g-2.jpg?height=176&width=1414&top_left_y=882&top_left_x=323)

How to form 5 piles of 2 chips with only 5 moves?
Ficha -

(a) ficha 7 jumps over fichas 8 and 9 forming a stack with ficha 10;

(b) ficha 4 jumps over fichas 5 and 6 forming a stack with ficha 8;

(c) ficha 6 jumps over fichas 3 and 5 forming a stack with ficha 2;

(d) ficha 5 jumps over the stack (4,8) forming a stack with ficha 9;

(e) ficha 1 jumps over the stack (6,2) forming a stack with ficha 3.

See the result:

(6) (1) (4) (5) (7)

(2) (3) 8 (9) (10)