There are 7 marbles in a circle. How could you get all 7 marbles ito a box by moving them in groups of only 2 or 3 at a time? You must follow this rule: Groups of 2 may ONLY move right,and groups of three may ONLY move left. How could you move all 7 marbles from a circle to a box?

Answer can not be too complicated!

Is the box to the right or left of the circle?

The right.

Move the first six in three moves (2 each time). That leaves 6 in the box and 1 in the circle.

Now move 3 from the box to the circle. Can you see what you'll do from there?

Thanks!

You're welcome.

82divided by 8

To move all 7 marbles from the circle to the box using groups of 2 or 3 marbles at a time, following the given rule, you can follow these steps:

1. Start by picking any two marbles and move them to the right.
2. Then, pick another two adjacent marbles to the right (including the previously moved ones) and move them to the right as well.
3. Repeat step 2 until you have moved all marbles to the right except for one.
4. Now, pick three adjacent marbles to the left (including the remaining one) and move them to the left.
5. Continue picking three adjacent marbles to the left (including the previously moved ones) and move them to the left until there is only one marble left.
6. Finally, move the remaining marble to the left, and all 7 marbles will be in the box.

By following these steps, you can successfully move all 7 marbles from the circle to the box using only groups of 2 or 3 marbles at a time while adhering to the given rule.