Please distribute these sweets . . . . . . . . the children.

The correct answer is: among.

The preposition “among” is used to distribute something to a group of people or things. In this case, the sweets are being distributed to a group of children. The other prepositions are not correct in this context.

• The preposition “in” is used to refer to a specific location or position. In this case, the sweets are not being distributed to a specific location, but to a group of people.
• The preposition “between” is used to refer to two or more things that are separated from each other. In this case, the sweets are not being distributed to two or more things, but to a group of people.
• The preposition “amid” is used to refer to a situation that is surrounded by something else. In this case, the sweets are not being distributed in a situation that is surrounded by something else, but to a group of people.