There are three witches and three children they were going to cross the river with a boat that can carry only two people and if a mother lives her child alone the another witches will kill her son.

There are three witches and three children they were going to cross the river with a boat that can carry only two people and if a mother lives her child alone the another witches will kill her son. How will the witches and children cross the river? ​

The Correct Answer and Explanation is:

To solve this problem, we need to consider the constraints and find a sequence of moves that will allow all three witches and their children to cross the river without violating the condition that no child is left alone with a witch who could harm them.

The key rule is that no child can be left alone with any witch on either side of the river because the witches will harm the child if the child is alone with them. This means a witch and her child must travel together, or the child must never be left with another witch.

Step-by-step solution:

1. First trip: Witch 1 and Child 1 cross the river together. Now Witch 1 and Child 1 are on the opposite bank.
2. Second trip: Witch 2 and Child 2 cross the river together. Now Witch 2 and Child 2 are on the opposite bank, while Witch 1 and Child 1 are already there.
3. Third trip: Witch 1 returns alone to the starting bank. Now Witch 1 is back, and Witch 2 with Child 2 is on the opposite bank.
4. Fourth trip: Witch 3 and Child 3 cross the river together. Now Witch 3 and Child 3 are on the opposite bank, and Witch 2 and Child 2 are already there.
5. Fifth trip: Witch 2 returns alone to the starting bank. Now Witch 2 is back, and Witch 3 with Child 3 is on the opposite bank.
6. Sixth trip: Witch 1 and Child 1 cross the river again. Now Witch 1 and Child 1 are on the opposite bank, along with Witch 3 and Child 3.
7. Seventh trip: Witch 1 returns alone to the starting bank. Now Witch 1 is back, and Witch 3 with Child 3 are on the opposite bank.
8. Eighth trip: Witch 2 and Child 2 cross the river again. Now all the witches and children are on the opposite bank.

Explanation:

The witches and children are transported in a way that ensures that no witch is left alone with a child that isn’t hers, and no child is left alone with another witch. The crucial part of the solution is to make sure that when a witch returns to the original bank, it’s to bring a child who hasn’t yet crossed, ensuring that the children are never left in unsafe situations.

This sequence guarantees that all three witches and their children successfully cross the river while obeying the rules.